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Simplifying 5 + -8(b + 1) = -12 + -5b Reorder the terms: 5 + -8(1 + b) = -12 + -5b 5 + (1 * -8 + b * -8) = -12 + -5b 5 + (-8 + -8b) = -12 + -5b Combine like terms: 5 + -8 = -3 -3 + -8b = -12 + -5b Solving -3 + -8b = -12 + -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. -3 + -8b + 5b = -12 + -5b + 5b Combine like terms: -8b + 5b = -3b -3 + -3b = -12 + -5b + 5b Combine like terms: -5b + 5b = 0 -3 + -3b = -12 + 0 -3 + -3b = -12 Add '3' to each side of the equation. -3 + 3 + -3b = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3b = -12 + 3 -3b = -12 + 3 Combine like terms: -12 + 3 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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