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Simplifying -5 + -4(1 + -3b) = -3(b + 3) + -7b -5 + (1 * -4 + -3b * -4) = -3(b + 3) + -7b -5 + (-4 + 12b) = -3(b + 3) + -7b Combine like terms: -5 + -4 = -9 -9 + 12b = -3(b + 3) + -7b Reorder the terms: -9 + 12b = -3(3 + b) + -7b -9 + 12b = (3 * -3 + b * -3) + -7b -9 + 12b = (-9 + -3b) + -7b Combine like terms: -3b + -7b = -10b -9 + 12b = -9 + -10b Add '9' to each side of the equation. -9 + 9 + 12b = -9 + 9 + -10b Combine like terms: -9 + 9 = 0 0 + 12b = -9 + 9 + -10b 12b = -9 + 9 + -10b Combine like terms: -9 + 9 = 0 12b = 0 + -10b 12b = -10b Solving 12b = -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 12b + 10b = -10b + 10b Combine like terms: 12b + 10b = 22b 22b = -10b + 10b Combine like terms: -10b + 10b = 0 22b = 0 Divide each side by '22'. b = 0 Simplifying b = 0
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