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Simplifying 17b + 7 = 5(b + -1) Reorder the terms: 7 + 17b = 5(b + -1) Reorder the terms: 7 + 17b = 5(-1 + b) 7 + 17b = (-1 * 5 + b * 5) 7 + 17b = (-5 + 5b) Solving 7 + 17b = -5 + 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 + 17b + -5b = -5 + 5b + -5b Combine like terms: 17b + -5b = 12b 7 + 12b = -5 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + 12b = -5 + 0 7 + 12b = -5 Add '-7' to each side of the equation. 7 + -7 + 12b = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 12b = -5 + -7 12b = -5 + -7 Combine like terms: -5 + -7 = -12 12b = -12 Divide each side by '12'. b = -1 Simplifying b = -1
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