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Simplifying -2(3b + 7) + -1(1 + 6b) = -15 Reorder the terms: -2(7 + 3b) + -1(1 + 6b) = -15 (7 * -2 + 3b * -2) + -1(1 + 6b) = -15 (-14 + -6b) + -1(1 + 6b) = -15 -14 + -6b + (1 * -1 + 6b * -1) = -15 -14 + -6b + (-1 + -6b) = -15 Reorder the terms: -14 + -1 + -6b + -6b = -15 Combine like terms: -14 + -1 = -15 -15 + -6b + -6b = -15 Combine like terms: -6b + -6b = -12b -15 + -12b = -15 Add '15' to each side of the equation. -15 + 15 + -12b = -15 + 15 Combine like terms: -15 + 15 = 0 0 + -12b = -15 + 15 -12b = -15 + 15 Combine like terms: -15 + 15 = 0 -12b = 0 Solving -12b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-12'. b = 0 Simplifying b = 0
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