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Simplifying 12 + -6b = -3b + 8(b + 7) Reorder the terms: 12 + -6b = -3b + 8(7 + b) 12 + -6b = -3b + (7 * 8 + b * 8) 12 + -6b = -3b + (56 + 8b) Reorder the terms: 12 + -6b = 56 + -3b + 8b Combine like terms: -3b + 8b = 5b 12 + -6b = 56 + 5b Solving 12 + -6b = 56 + 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 + -6b + -5b = 56 + 5b + -5b Combine like terms: -6b + -5b = -11b 12 + -11b = 56 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -11b = 56 + 0 12 + -11b = 56 Add '-12' to each side of the equation. 12 + -12 + -11b = 56 + -12 Combine like terms: 12 + -12 = 0 0 + -11b = 56 + -12 -11b = 56 + -12 Combine like terms: 56 + -12 = 44 -11b = 44 Divide each side by '-11'. b = -4 Simplifying b = -4
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