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Simplifying -7(1 + -7b) + -1(2b + 8) = -15 (1 * -7 + -7b * -7) + -1(2b + 8) = -15 (-7 + 49b) + -1(2b + 8) = -15 Reorder the terms: -7 + 49b + -1(8 + 2b) = -15 -7 + 49b + (8 * -1 + 2b * -1) = -15 -7 + 49b + (-8 + -2b) = -15 Reorder the terms: -7 + -8 + 49b + -2b = -15 Combine like terms: -7 + -8 = -15 -15 + 49b + -2b = -15 Combine like terms: 49b + -2b = 47b -15 + 47b = -15 Add '15' to each side of the equation. -15 + 15 + 47b = -15 + 15 Combine like terms: -15 + 15 = 0 0 + 47b = -15 + 15 47b = -15 + 15 Combine like terms: -15 + 15 = 0 47b = 0 Solving 47b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '47'. b = 0 Simplifying b = 0
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