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Simplifying -12(2b + 3) + 7 = 7(1 + -3b) Reorder the terms: -12(3 + 2b) + 7 = 7(1 + -3b) (3 * -12 + 2b * -12) + 7 = 7(1 + -3b) (-36 + -24b) + 7 = 7(1 + -3b) Reorder the terms: -36 + 7 + -24b = 7(1 + -3b) Combine like terms: -36 + 7 = -29 -29 + -24b = 7(1 + -3b) -29 + -24b = (1 * 7 + -3b * 7) -29 + -24b = (7 + -21b) Solving -29 + -24b = 7 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -29 + -24b + 21b = 7 + -21b + 21b Combine like terms: -24b + 21b = -3b -29 + -3b = 7 + -21b + 21b Combine like terms: -21b + 21b = 0 -29 + -3b = 7 + 0 -29 + -3b = 7 Add '29' to each side of the equation. -29 + 29 + -3b = 7 + 29 Combine like terms: -29 + 29 = 0 0 + -3b = 7 + 29 -3b = 7 + 29 Combine like terms: 7 + 29 = 36 -3b = 36 Divide each side by '-3'. b = -12 Simplifying b = -12
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