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Simplifying -3(b + 1) + 12 = -7(-2b + 6) Reorder the terms: -3(1 + b) + 12 = -7(-2b + 6) (1 * -3 + b * -3) + 12 = -7(-2b + 6) (-3 + -3b) + 12 = -7(-2b + 6) Reorder the terms: -3 + 12 + -3b = -7(-2b + 6) Combine like terms: -3 + 12 = 9 9 + -3b = -7(-2b + 6) Reorder the terms: 9 + -3b = -7(6 + -2b) 9 + -3b = (6 * -7 + -2b * -7) 9 + -3b = (-42 + 14b) Solving 9 + -3b = -42 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 9 + -3b + -14b = -42 + 14b + -14b Combine like terms: -3b + -14b = -17b 9 + -17b = -42 + 14b + -14b Combine like terms: 14b + -14b = 0 9 + -17b = -42 + 0 9 + -17b = -42 Add '-9' to each side of the equation. 9 + -9 + -17b = -42 + -9 Combine like terms: 9 + -9 = 0 0 + -17b = -42 + -9 -17b = -42 + -9 Combine like terms: -42 + -9 = -51 -17b = -51 Divide each side by '-17'. b = 3 Simplifying b = 3
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