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Simplifying 2(b + 6) = 5b + -6 Reorder the terms: 2(6 + b) = 5b + -6 (6 * 2 + b * 2) = 5b + -6 (12 + 2b) = 5b + -6 Reorder the terms: 12 + 2b = -6 + 5b Solving 12 + 2b = -6 + 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. 12 + 2b + -5b = -6 + 5b + -5b Combine like terms: 2b + -5b = -3b 12 + -3b = -6 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -3b = -6 + 0 12 + -3b = -6 Add '-12' to each side of the equation. 12 + -12 + -3b = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3b = -6 + -12 -3b = -6 + -12 Combine like terms: -6 + -12 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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