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Simplifying 27 = 5(b + -3) + 2b Reorder the terms: 27 = 5(-3 + b) + 2b 27 = (-3 * 5 + b * 5) + 2b 27 = (-15 + 5b) + 2b Combine like terms: 5b + 2b = 7b 27 = -15 + 7b Solving 27 = -15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 27 + -7b = -15 + 7b + -7b Combine like terms: 7b + -7b = 0 27 + -7b = -15 + 0 27 + -7b = -15 Add '-27' to each side of the equation. 27 + -27 + -7b = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -7b = -15 + -27 -7b = -15 + -27 Combine like terms: -15 + -27 = -42 -7b = -42 Divide each side by '-7'. b = 6 Simplifying b = 6
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