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Simplifying 3(b + -4) = 8(b + 5) + -12 Reorder the terms: 3(-4 + b) = 8(b + 5) + -12 (-4 * 3 + b * 3) = 8(b + 5) + -12 (-12 + 3b) = 8(b + 5) + -12 Reorder the terms: -12 + 3b = 8(5 + b) + -12 -12 + 3b = (5 * 8 + b * 8) + -12 -12 + 3b = (40 + 8b) + -12 Reorder the terms: -12 + 3b = 40 + -12 + 8b Combine like terms: 40 + -12 = 28 -12 + 3b = 28 + 8b Solving -12 + 3b = 28 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -12 + 3b + -8b = 28 + 8b + -8b Combine like terms: 3b + -8b = -5b -12 + -5b = 28 + 8b + -8b Combine like terms: 8b + -8b = 0 -12 + -5b = 28 + 0 -12 + -5b = 28 Add '12' to each side of the equation. -12 + 12 + -5b = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -5b = 28 + 12 -5b = 28 + 12 Combine like terms: 28 + 12 = 40 -5b = 40 Divide each side by '-5'. b = -8 Simplifying b = -8
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