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Simplifying 2b + 15 = 3b + 7 Reorder the terms: 15 + 2b = 3b + 7 Reorder the terms: 15 + 2b = 7 + 3b Solving 15 + 2b = 7 + 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. 15 + 2b + -3b = 7 + 3b + -3b Combine like terms: 2b + -3b = -1b 15 + -1b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 15 + -1b = 7 + 0 15 + -1b = 7 Add '-15' to each side of the equation. 15 + -15 + -1b = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = 7 + -15 -1b = 7 + -15 Combine like terms: 7 + -15 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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