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Simplifying -2(b + -3) + 2 = -2(6b + 6) Reorder the terms: -2(-3 + b) + 2 = -2(6b + 6) (-3 * -2 + b * -2) + 2 = -2(6b + 6) (6 + -2b) + 2 = -2(6b + 6) Reorder the terms: 6 + 2 + -2b = -2(6b + 6) Combine like terms: 6 + 2 = 8 8 + -2b = -2(6b + 6) Reorder the terms: 8 + -2b = -2(6 + 6b) 8 + -2b = (6 * -2 + 6b * -2) 8 + -2b = (-12 + -12b) Solving 8 + -2b = -12 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 8 + -2b + 12b = -12 + -12b + 12b Combine like terms: -2b + 12b = 10b 8 + 10b = -12 + -12b + 12b Combine like terms: -12b + 12b = 0 8 + 10b = -12 + 0 8 + 10b = -12 Add '-8' to each side of the equation. 8 + -8 + 10b = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 10b = -12 + -8 10b = -12 + -8 Combine like terms: -12 + -8 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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