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Simplifying -15 = -3(-1b + 8) + -6(b + -1) Reorder the terms: -15 = -3(8 + -1b) + -6(b + -1) -15 = (8 * -3 + -1b * -3) + -6(b + -1) -15 = (-24 + 3b) + -6(b + -1) Reorder the terms: -15 = -24 + 3b + -6(-1 + b) -15 = -24 + 3b + (-1 * -6 + b * -6) -15 = -24 + 3b + (6 + -6b) Reorder the terms: -15 = -24 + 6 + 3b + -6b Combine like terms: -24 + 6 = -18 -15 = -18 + 3b + -6b Combine like terms: 3b + -6b = -3b -15 = -18 + -3b Solving -15 = -18 + -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. -15 + 3b = -18 + -3b + 3b Combine like terms: -3b + 3b = 0 -15 + 3b = -18 + 0 -15 + 3b = -18 Add '15' to each side of the equation. -15 + 15 + 3b = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 3b = -18 + 15 3b = -18 + 15 Combine like terms: -18 + 15 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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