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Simplifying 3 + -1(7 + -8b) = 12b + -5(3b + -8) 3 + (7 * -1 + -8b * -1) = 12b + -5(3b + -8) 3 + (-7 + 8b) = 12b + -5(3b + -8) Combine like terms: 3 + -7 = -4 -4 + 8b = 12b + -5(3b + -8) Reorder the terms: -4 + 8b = 12b + -5(-8 + 3b) -4 + 8b = 12b + (-8 * -5 + 3b * -5) -4 + 8b = 12b + (40 + -15b) Reorder the terms: -4 + 8b = 40 + 12b + -15b Combine like terms: 12b + -15b = -3b -4 + 8b = 40 + -3b Solving -4 + 8b = 40 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -4 + 8b + 3b = 40 + -3b + 3b Combine like terms: 8b + 3b = 11b -4 + 11b = 40 + -3b + 3b Combine like terms: -3b + 3b = 0 -4 + 11b = 40 + 0 -4 + 11b = 40 Add '4' to each side of the equation. -4 + 4 + 11b = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 11b = 40 + 4 11b = 40 + 4 Combine like terms: 40 + 4 = 44 11b = 44 Divide each side by '11'. b = 4 Simplifying b = 4
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