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Simplifying -31 + b = -3(4b + 6) Reorder the terms: -31 + b = -3(6 + 4b) -31 + b = (6 * -3 + 4b * -3) -31 + b = (-18 + -12b) Solving -31 + b = -18 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -31 + b + 12b = -18 + -12b + 12b Combine like terms: b + 12b = 13b -31 + 13b = -18 + -12b + 12b Combine like terms: -12b + 12b = 0 -31 + 13b = -18 + 0 -31 + 13b = -18 Add '31' to each side of the equation. -31 + 31 + 13b = -18 + 31 Combine like terms: -31 + 31 = 0 0 + 13b = -18 + 31 13b = -18 + 31 Combine like terms: -18 + 31 = 13 13b = 13 Divide each side by '13'. b = 1 Simplifying b = 1
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