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Simplifying 5b + 4 = 6(b + 1) + -3b Reorder the terms: 4 + 5b = 6(b + 1) + -3b Reorder the terms: 4 + 5b = 6(1 + b) + -3b 4 + 5b = (1 * 6 + b * 6) + -3b 4 + 5b = (6 + 6b) + -3b Combine like terms: 6b + -3b = 3b 4 + 5b = 6 + 3b Solving 4 + 5b = 6 + 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. 4 + 5b + -3b = 6 + 3b + -3b Combine like terms: 5b + -3b = 2b 4 + 2b = 6 + 3b + -3b Combine like terms: 3b + -3b = 0 4 + 2b = 6 + 0 4 + 2b = 6 Add '-4' to each side of the equation. 4 + -4 + 2b = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2b = 6 + -4 2b = 6 + -4 Combine like terms: 6 + -4 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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