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Simplifying 6(m + -2) = -7(m + -2) Reorder the terms: 6(-2 + m) = -7(m + -2) (-2 * 6 + m * 6) = -7(m + -2) (-12 + 6m) = -7(m + -2) Reorder the terms: -12 + 6m = -7(-2 + m) -12 + 6m = (-2 * -7 + m * -7) -12 + 6m = (14 + -7m) Solving -12 + 6m = 14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -12 + 6m + 7m = 14 + -7m + 7m Combine like terms: 6m + 7m = 13m -12 + 13m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 -12 + 13m = 14 + 0 -12 + 13m = 14 Add '12' to each side of the equation. -12 + 12 + 13m = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 13m = 14 + 12 13m = 14 + 12 Combine like terms: 14 + 12 = 26 13m = 26 Divide each side by '13'. m = 2 Simplifying m = 2
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