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Simplifying 7(b + -9) + -1b = -9(7 + 2b) Reorder the terms: 7(-9 + b) + -1b = -9(7 + 2b) (-9 * 7 + b * 7) + -1b = -9(7 + 2b) (-63 + 7b) + -1b = -9(7 + 2b) Combine like terms: 7b + -1b = 6b -63 + 6b = -9(7 + 2b) -63 + 6b = (7 * -9 + 2b * -9) -63 + 6b = (-63 + -18b) Add '63' to each side of the equation. -63 + 63 + 6b = -63 + 63 + -18b Combine like terms: -63 + 63 = 0 0 + 6b = -63 + 63 + -18b 6b = -63 + 63 + -18b Combine like terms: -63 + 63 = 0 6b = 0 + -18b 6b = -18b Solving 6b = -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. 6b + 18b = -18b + 18b Combine like terms: 6b + 18b = 24b 24b = -18b + 18b Combine like terms: -18b + 18b = 0 24b = 0 Divide each side by '24'. b = 0 Simplifying b = 0
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