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Simplifying 6(2m + -2) = 7(m + -3) Reorder the terms: 6(-2 + 2m) = 7(m + -3) (-2 * 6 + 2m * 6) = 7(m + -3) (-12 + 12m) = 7(m + -3) Reorder the terms: -12 + 12m = 7(-3 + m) -12 + 12m = (-3 * 7 + m * 7) -12 + 12m = (-21 + 7m) Solving -12 + 12m = -21 + 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 + 12m + -7m = -21 + 7m + -7m Combine like terms: 12m + -7m = 5m -12 + 5m = -21 + 7m + -7m Combine like terms: 7m + -7m = 0 -12 + 5m = -21 + 0 -12 + 5m = -21 Add '12' to each side of the equation. -12 + 12 + 5m = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 5m = -21 + 12 5m = -21 + 12 Combine like terms: -21 + 12 = -9 5m = -9 Divide each side by '5'. m = -1.8 Simplifying m = -1.8
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