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Simplifying 4(b + 1) = 5b + -3 Reorder the terms: 4(1 + b) = 5b + -3 (1 * 4 + b * 4) = 5b + -3 (4 + 4b) = 5b + -3 Reorder the terms: 4 + 4b = -3 + 5b Solving 4 + 4b = -3 + 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. 4 + 4b + -5b = -3 + 5b + -5b Combine like terms: 4b + -5b = -1b 4 + -1b = -3 + 5b + -5b Combine like terms: 5b + -5b = 0 4 + -1b = -3 + 0 4 + -1b = -3 Add '-4' to each side of the equation. 4 + -4 + -1b = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -3 + -4 -1b = -3 + -4 Combine like terms: -3 + -4 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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