1. Problem: Expand the algebraic expressions by distributing the multiplication over addition or subtraction. 2. Formula: Use the distributive property $a(b+c) = ab + ac$. 3. a) $3(-7 + 5g) = 3 \times (-7) + 3 \times 5g = -21 + 15g$ 4. b) $-3(-7 + 9) = -3 \times (-7) + -3 \times 9 = 21 - 27$ 5. c) $4(6 - 3a) = 4 \times 6 + 4 \times (-3a) = 24 - 12a$ 6. d) $9(-2d + 8) = 9 \times (-2d) + 9 \times 8 = -18d + 72$ 7. e) $-8(-2 - 1) = -8 \times (-2) + -8 \times (-1) = 16 + 8$ 8. f) $-3(4 - 2k) = -3 \times 4 + -3 \times (-2k) = -12 + 6k$ 9. g) $-12(5 + 11h) = -12 \times 5 + -12 \times 11h = -60 - 132h$ 10. h) $6(-2 - 9t) = 6 \times (-2) + 6 \times (-9t) = -12 - 54t$ Final answers: a) $-21 + 15g$ b) $21 - 27$ c) $24 - 12a$ d) $-18d + 72$ e) $16 + 8$ f) $-12 + 6k$ g) $-60 - 132h$ h) $-12 - 54t$