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