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Simplifying 9(b + -4) + -2(8b + 5) = 17 Reorder the terms: 9(-4 + b) + -2(8b + 5) = 17 (-4 * 9 + b * 9) + -2(8b + 5) = 17 (-36 + 9b) + -2(8b + 5) = 17 Reorder the terms: -36 + 9b + -2(5 + 8b) = 17 -36 + 9b + (5 * -2 + 8b * -2) = 17 -36 + 9b + (-10 + -16b) = 17 Reorder the terms: -36 + -10 + 9b + -16b = 17 Combine like terms: -36 + -10 = -46 -46 + 9b + -16b = 17 Combine like terms: 9b + -16b = -7b -46 + -7b = 17 Solving -46 + -7b = 17 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -7b = 17 + 46 Combine like terms: -46 + 46 = 0 0 + -7b = 17 + 46 -7b = 17 + 46 Combine like terms: 17 + 46 = 63 -7b = 63 Divide each side by '-7'. b = -9 Simplifying b = -9
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