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Simplifying 7(b + 1) = 3b + -5 Reorder the terms: 7(1 + b) = 3b + -5 (1 * 7 + b * 7) = 3b + -5 (7 + 7b) = 3b + -5 Reorder the terms: 7 + 7b = -5 + 3b Solving 7 + 7b = -5 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7 + 7b + -3b = -5 + 3b + -3b Combine like terms: 7b + -3b = 4b 7 + 4b = -5 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + 4b = -5 + 0 7 + 4b = -5 Add '-7' to each side of the equation. 7 + -7 + 4b = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = -5 + -7 4b = -5 + -7 Combine like terms: -5 + -7 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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