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Simplifying -2(5b + 7) + -1(1 + -1b) = -15 Reorder the terms: -2(7 + 5b) + -1(1 + -1b) = -15 (7 * -2 + 5b * -2) + -1(1 + -1b) = -15 (-14 + -10b) + -1(1 + -1b) = -15 -14 + -10b + (1 * -1 + -1b * -1) = -15 -14 + -10b + (-1 + 1b) = -15 Reorder the terms: -14 + -1 + -10b + 1b = -15 Combine like terms: -14 + -1 = -15 -15 + -10b + 1b = -15 Combine like terms: -10b + 1b = -9b -15 + -9b = -15 Add '15' to each side of the equation. -15 + 15 + -9b = -15 + 15 Combine like terms: -15 + 15 = 0 0 + -9b = -15 + 15 -9b = -15 + 15 Combine like terms: -15 + 15 = 0 -9b = 0 Solving -9b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-9'. b = 0 Simplifying b = 0
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