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Simplifying 4(b + -4) + -5(b + -1) = -12 Reorder the terms: 4(-4 + b) + -5(b + -1) = -12 (-4 * 4 + b * 4) + -5(b + -1) = -12 (-16 + 4b) + -5(b + -1) = -12 Reorder the terms: -16 + 4b + -5(-1 + b) = -12 -16 + 4b + (-1 * -5 + b * -5) = -12 -16 + 4b + (5 + -5b) = -12 Reorder the terms: -16 + 5 + 4b + -5b = -12 Combine like terms: -16 + 5 = -11 -11 + 4b + -5b = -12 Combine like terms: 4b + -5b = -1b -11 + -1b = -12 Solving -11 + -1b = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1b = -12 + 11 Combine like terms: -11 + 11 = 0 0 + -1b = -12 + 11 -1b = -12 + 11 Combine like terms: -12 + 11 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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