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Simplifying 5(b + -4) = 8b + -12 Reorder the terms: 5(-4 + b) = 8b + -12 (-4 * 5 + b * 5) = 8b + -12 (-20 + 5b) = 8b + -12 Reorder the terms: -20 + 5b = -12 + 8b Solving -20 + 5b = -12 + 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. -20 + 5b + -8b = -12 + 8b + -8b Combine like terms: 5b + -8b = -3b -20 + -3b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 -20 + -3b = -12 + 0 -20 + -3b = -12 Add '20' to each side of the equation. -20 + 20 + -3b = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -3b = -12 + 20 -3b = -12 + 20 Combine like terms: -12 + 20 = 8 -3b = 8 Divide each side by '-3'. b = -2.666666667 Simplifying b = -2.666666667
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