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Simplifying 67 = 5(-5 + 6b) + -1(b + -5) 67 = (-5 * 5 + 6b * 5) + -1(b + -5) 67 = (-25 + 30b) + -1(b + -5) Reorder the terms: 67 = -25 + 30b + -1(-5 + b) 67 = -25 + 30b + (-5 * -1 + b * -1) 67 = -25 + 30b + (5 + -1b) Reorder the terms: 67 = -25 + 5 + 30b + -1b Combine like terms: -25 + 5 = -20 67 = -20 + 30b + -1b Combine like terms: 30b + -1b = 29b 67 = -20 + 29b Solving 67 = -20 + 29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-29b' to each side of the equation. 67 + -29b = -20 + 29b + -29b Combine like terms: 29b + -29b = 0 67 + -29b = -20 + 0 67 + -29b = -20 Add '-67' to each side of the equation. 67 + -67 + -29b = -20 + -67 Combine like terms: 67 + -67 = 0 0 + -29b = -20 + -67 -29b = -20 + -67 Combine like terms: -20 + -67 = -87 -29b = -87 Divide each side by '-29'. b = 3 Simplifying b = 3
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