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Simplifying 7 = -3(23 + -1b) + 2(b + -2) 7 = (23 * -3 + -1b * -3) + 2(b + -2) 7 = (-69 + 3b) + 2(b + -2) Reorder the terms: 7 = -69 + 3b + 2(-2 + b) 7 = -69 + 3b + (-2 * 2 + b * 2) 7 = -69 + 3b + (-4 + 2b) Reorder the terms: 7 = -69 + -4 + 3b + 2b Combine like terms: -69 + -4 = -73 7 = -73 + 3b + 2b Combine like terms: 3b + 2b = 5b 7 = -73 + 5b Solving 7 = -73 + 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 = -73 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -5b = -73 + 0 7 + -5b = -73 Add '-7' to each side of the equation. 7 + -7 + -5b = -73 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = -73 + -7 -5b = -73 + -7 Combine like terms: -73 + -7 = -80 -5b = -80 Divide each side by '-5'. b = 16 Simplifying b = 16
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