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Simplifying 3(b + -4) = 5(b + 2) Reorder the terms: 3(-4 + b) = 5(b + 2) (-4 * 3 + b * 3) = 5(b + 2) (-12 + 3b) = 5(b + 2) Reorder the terms: -12 + 3b = 5(2 + b) -12 + 3b = (2 * 5 + b * 5) -12 + 3b = (10 + 5b) Solving -12 + 3b = 10 + 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. -12 + 3b + -5b = 10 + 5b + -5b Combine like terms: 3b + -5b = -2b -12 + -2b = 10 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + -2b = 10 + 0 -12 + -2b = 10 Add '12' to each side of the equation. -12 + 12 + -2b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = 10 + 12 -2b = 10 + 12 Combine like terms: 10 + 12 = 22 -2b = 22 Divide each side by '-2'. b = -11 Simplifying b = -11
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