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Simplifying 5(m + -5) + -5(2m + -4) = -6(m + -4) + -7 Reorder the terms: 5(-5 + m) + -5(2m + -4) = -6(m + -4) + -7 (-5 * 5 + m * 5) + -5(2m + -4) = -6(m + -4) + -7 (-25 + 5m) + -5(2m + -4) = -6(m + -4) + -7 Reorder the terms: -25 + 5m + -5(-4 + 2m) = -6(m + -4) + -7 -25 + 5m + (-4 * -5 + 2m * -5) = -6(m + -4) + -7 -25 + 5m + (20 + -10m) = -6(m + -4) + -7 Reorder the terms: -25 + 20 + 5m + -10m = -6(m + -4) + -7 Combine like terms: -25 + 20 = -5 -5 + 5m + -10m = -6(m + -4) + -7 Combine like terms: 5m + -10m = -5m -5 + -5m = -6(m + -4) + -7 Reorder the terms: -5 + -5m = -6(-4 + m) + -7 -5 + -5m = (-4 * -6 + m * -6) + -7 -5 + -5m = (24 + -6m) + -7 Reorder the terms: -5 + -5m = 24 + -7 + -6m Combine like terms: 24 + -7 = 17 -5 + -5m = 17 + -6m Solving -5 + -5m = 17 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -5 + -5m + 6m = 17 + -6m + 6m Combine like terms: -5m + 6m = 1m -5 + 1m = 17 + -6m + 6m Combine like terms: -6m + 6m = 0 -5 + 1m = 17 + 0 -5 + 1m = 17 Add '5' to each side of the equation. -5 + 5 + 1m = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = 17 + 5 1m = 17 + 5 Combine like terms: 17 + 5 = 22 1m = 22 Divide each side by '1'. m = 22 Simplifying m = 22
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