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Simplifying 9 + 2(b + -8) = 9(-3 + -2b) Reorder the terms: 9 + 2(-8 + b) = 9(-3 + -2b) 9 + (-8 * 2 + b * 2) = 9(-3 + -2b) 9 + (-16 + 2b) = 9(-3 + -2b) Combine like terms: 9 + -16 = -7 -7 + 2b = 9(-3 + -2b) -7 + 2b = (-3 * 9 + -2b * 9) -7 + 2b = (-27 + -18b) Solving -7 + 2b = -27 + -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. -7 + 2b + 18b = -27 + -18b + 18b Combine like terms: 2b + 18b = 20b -7 + 20b = -27 + -18b + 18b Combine like terms: -18b + 18b = 0 -7 + 20b = -27 + 0 -7 + 20b = -27 Add '7' to each side of the equation. -7 + 7 + 20b = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 20b = -27 + 7 20b = -27 + 7 Combine like terms: -27 + 7 = -20 20b = -20 Divide each side by '20'. b = -1 Simplifying b = -1
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