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Simplifying 5 + -8(3b + -7) = 32 + 5b Reorder the terms: 5 + -8(-7 + 3b) = 32 + 5b 5 + (-7 * -8 + 3b * -8) = 32 + 5b 5 + (56 + -24b) = 32 + 5b Combine like terms: 5 + 56 = 61 61 + -24b = 32 + 5b Solving 61 + -24b = 32 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 61 + -24b + -5b = 32 + 5b + -5b Combine like terms: -24b + -5b = -29b 61 + -29b = 32 + 5b + -5b Combine like terms: 5b + -5b = 0 61 + -29b = 32 + 0 61 + -29b = 32 Add '-61' to each side of the equation. 61 + -61 + -29b = 32 + -61 Combine like terms: 61 + -61 = 0 0 + -29b = 32 + -61 -29b = 32 + -61 Combine like terms: 32 + -61 = -29 -29b = -29 Divide each side by '-29'. b = 1 Simplifying b = 1
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