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Simplifying 7 = 9b + -2(2b + 1) Reorder the terms: 7 = 9b + -2(1 + 2b) 7 = 9b + (1 * -2 + 2b * -2) 7 = 9b + (-2 + -4b) Reorder the terms: 7 = -2 + 9b + -4b Combine like terms: 9b + -4b = 5b 7 = -2 + 5b Solving 7 = -2 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 7 + -5b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -5b = -2 + 0 7 + -5b = -2 Add '-7' to each side of the equation. 7 + -7 + -5b = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = -2 + -7 -5b = -2 + -7 Combine like terms: -2 + -7 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8
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