1. **State the problem:** Solve each equation for the variable and then arrange the solutions in numerical order from least to greatest.
2. **Equation 1:** $-5n - 8(1 + 7n) = -8$
Use the distributive property:
$$-5n - 8 - 56n = -8$$
Combine like terms:
$$-5n - 56n - 8 = -8$$
$$-61n - 8 = -8$$
Add 8 to both sides:
$$-61n - 8 + 8 = -8 + 8$$
$$-61n = 0$$
Divide both sides by $-61$:
$$\cancel{-61}n = \frac{0}{\cancel{-61}}$$
$$n = 0$$
3. **Equation 2:** $37 = -3 + 5(x + 6)$
Distribute 5:
$$37 = -3 + 5x + 30$$
Combine constants on the right:
$$37 = 5x + 27$$
Subtract 27 from both sides:
$$37 - 27 = 5x + 27 - 27$$
$$10 = 5x$$
Divide both sides by 5:
$$\frac{10}{\cancel{5}} = \frac{5x}{\cancel{5}}$$
$$2 = x$$
4. **Equation 3:** $-13 = 5(1 + 4m) - 2m$
Distribute 5:
$$-13 = 5 + 20m - 2m$$
Combine like terms:
$$-13 = 5 + 18m$$
Subtract 5 from both sides:
$$-13 - 5 = 5 + 18m - 5$$
$$-18 = 18m$$
Divide both sides by 18:
$$\frac{-18}{\cancel{18}} = \frac{18m}{\cancel{18}}$$
$$-1 = m$$
5. **Arrange solutions in numerical order:**
$$m = -1, n = 0, x = 2$$
**Final answer:** The solutions in order from least to greatest are $-1, 0, 2$.
Solve Arrange Equations C07D65
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