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Simplifying 3(b + -4) = 5b + 2 Reorder the terms: 3(-4 + b) = 5b + 2 (-4 * 3 + b * 3) = 5b + 2 (-12 + 3b) = 5b + 2 Reorder the terms: -12 + 3b = 2 + 5b Solving -12 + 3b = 2 + 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 = 2 + 5b + -5b Combine like terms: 3b + -5b = -2b -12 + -2b = 2 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + -2b = 2 + 0 -12 + -2b = 2 Add '12' to each side of the equation. -12 + 12 + -2b = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = 2 + 12 -2b = 2 + 12 Combine like terms: 2 + 12 = 14 -2b = 14 Divide each side by '-2'. b = -7 Simplifying b = -7
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