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Simplifying -8(m + 6) + 2 = -7(3m + 1) Reorder the terms: -8(6 + m) + 2 = -7(3m + 1) (6 * -8 + m * -8) + 2 = -7(3m + 1) (-48 + -8m) + 2 = -7(3m + 1) Reorder the terms: -48 + 2 + -8m = -7(3m + 1) Combine like terms: -48 + 2 = -46 -46 + -8m = -7(3m + 1) Reorder the terms: -46 + -8m = -7(1 + 3m) -46 + -8m = (1 * -7 + 3m * -7) -46 + -8m = (-7 + -21m) Solving -46 + -8m = -7 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. -46 + -8m + 21m = -7 + -21m + 21m Combine like terms: -8m + 21m = 13m -46 + 13m = -7 + -21m + 21m Combine like terms: -21m + 21m = 0 -46 + 13m = -7 + 0 -46 + 13m = -7 Add '46' to each side of the equation. -46 + 46 + 13m = -7 + 46 Combine like terms: -46 + 46 = 0 0 + 13m = -7 + 46 13m = -7 + 46 Combine like terms: -7 + 46 = 39 13m = 39 Divide each side by '13'. m = 3 Simplifying m = 3
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