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Simplifying 13 = -3(23 + -1b) + 2(b + -4) 13 = (23 * -3 + -1b * -3) + 2(b + -4) 13 = (-69 + 3b) + 2(b + -4) Reorder the terms: 13 = -69 + 3b + 2(-4 + b) 13 = -69 + 3b + (-4 * 2 + b * 2) 13 = -69 + 3b + (-8 + 2b) Reorder the terms: 13 = -69 + -8 + 3b + 2b Combine like terms: -69 + -8 = -77 13 = -77 + 3b + 2b Combine like terms: 3b + 2b = 5b 13 = -77 + 5b Solving 13 = -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. 13 + -5b = -77 + 5b + -5b Combine like terms: 5b + -5b = 0 13 + -5b = -77 + 0 13 + -5b = -77 Add '-13' to each side of the equation. 13 + -13 + -5b = -77 + -13 Combine like terms: 13 + -13 = 0 0 + -5b = -77 + -13 -5b = -77 + -13 Combine like terms: -77 + -13 = -90 -5b = -90 Divide each side by '-5'. b = 18 Simplifying b = 18
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