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Simplifying 2(b + 4) = 3b + -6 Reorder the terms: 2(4 + b) = 3b + -6 (4 * 2 + b * 2) = 3b + -6 (8 + 2b) = 3b + -6 Reorder the terms: 8 + 2b = -6 + 3b Solving 8 + 2b = -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. 8 + 2b + -3b = -6 + 3b + -3b Combine like terms: 2b + -3b = -1b 8 + -1b = -6 + 3b + -3b Combine like terms: 3b + -3b = 0 8 + -1b = -6 + 0 8 + -1b = -6 Add '-8' to each side of the equation. 8 + -8 + -1b = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = -6 + -8 -1b = -6 + -8 Combine like terms: -6 + -8 = -14 -1b = -14 Divide each side by '-1'. b = 14 Simplifying b = 14
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