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Simplifying 18 = -3(23 + -1b) + 2(b + -4) 18 = (23 * -3 + -1b * -3) + 2(b + -4) 18 = (-69 + 3b) + 2(b + -4) Reorder the terms: 18 = -69 + 3b + 2(-4 + b) 18 = -69 + 3b + (-4 * 2 + b * 2) 18 = -69 + 3b + (-8 + 2b) Reorder the terms: 18 = -69 + -8 + 3b + 2b Combine like terms: -69 + -8 = -77 18 = -77 + 3b + 2b Combine like terms: 3b + 2b = 5b 18 = -77 + 5b Solving 18 = -77 + 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. 18 + -5b = -77 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + -5b = -77 + 0 18 + -5b = -77 Add '-18' to each side of the equation. 18 + -18 + -5b = -77 + -18 Combine like terms: 18 + -18 = 0 0 + -5b = -77 + -18 -5b = -77 + -18 Combine like terms: -77 + -18 = -95 -5b = -95 Divide each side by '-5'. b = 19 Simplifying b = 19
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