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Simplifying -9(b + 2) + 1 = 7b + 15 Reorder the terms: -9(2 + b) + 1 = 7b + 15 (2 * -9 + b * -9) + 1 = 7b + 15 (-18 + -9b) + 1 = 7b + 15 Reorder the terms: -18 + 1 + -9b = 7b + 15 Combine like terms: -18 + 1 = -17 -17 + -9b = 7b + 15 Reorder the terms: -17 + -9b = 15 + 7b Solving -17 + -9b = 15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -17 + -9b + -7b = 15 + 7b + -7b Combine like terms: -9b + -7b = -16b -17 + -16b = 15 + 7b + -7b Combine like terms: 7b + -7b = 0 -17 + -16b = 15 + 0 -17 + -16b = 15 Add '17' to each side of the equation. -17 + 17 + -16b = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -16b = 15 + 17 -16b = 15 + 17 Combine like terms: 15 + 17 = 32 -16b = 32 Divide each side by '-16'. b = -2 Simplifying b = -2
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