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Simplifying 4 + 7(m + -2) = 5(m + -4) + 6 Reorder the terms: 4 + 7(-2 + m) = 5(m + -4) + 6 4 + (-2 * 7 + m * 7) = 5(m + -4) + 6 4 + (-14 + 7m) = 5(m + -4) + 6 Combine like terms: 4 + -14 = -10 -10 + 7m = 5(m + -4) + 6 Reorder the terms: -10 + 7m = 5(-4 + m) + 6 -10 + 7m = (-4 * 5 + m * 5) + 6 -10 + 7m = (-20 + 5m) + 6 Reorder the terms: -10 + 7m = -20 + 6 + 5m Combine like terms: -20 + 6 = -14 -10 + 7m = -14 + 5m Solving -10 + 7m = -14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -10 + 7m + -5m = -14 + 5m + -5m Combine like terms: 7m + -5m = 2m -10 + 2m = -14 + 5m + -5m Combine like terms: 5m + -5m = 0 -10 + 2m = -14 + 0 -10 + 2m = -14 Add '10' to each side of the equation. -10 + 10 + 2m = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 2m = -14 + 10 2m = -14 + 10 Combine like terms: -14 + 10 = -4 2m = -4 Divide each side by '2'. m = -2 Simplifying m = -2
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