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Simplifying -56 = -2(3b + -9) + -1(2 + 6b) Reorder the terms: -56 = -2(-9 + 3b) + -1(2 + 6b) -56 = (-9 * -2 + 3b * -2) + -1(2 + 6b) -56 = (18 + -6b) + -1(2 + 6b) -56 = 18 + -6b + (2 * -1 + 6b * -1) -56 = 18 + -6b + (-2 + -6b) Reorder the terms: -56 = 18 + -2 + -6b + -6b Combine like terms: 18 + -2 = 16 -56 = 16 + -6b + -6b Combine like terms: -6b + -6b = -12b -56 = 16 + -12b Solving -56 = 16 + -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. -56 + 12b = 16 + -12b + 12b Combine like terms: -12b + 12b = 0 -56 + 12b = 16 + 0 -56 + 12b = 16 Add '56' to each side of the equation. -56 + 56 + 12b = 16 + 56 Combine like terms: -56 + 56 = 0 0 + 12b = 16 + 56 12b = 16 + 56 Combine like terms: 16 + 56 = 72 12b = 72 Divide each side by '12'. b = 6 Simplifying b = 6
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