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Simplifying 2(5m + -3) + -6m = 3(m + -4) + 5 Reorder the terms: 2(-3 + 5m) + -6m = 3(m + -4) + 5 (-3 * 2 + 5m * 2) + -6m = 3(m + -4) + 5 (-6 + 10m) + -6m = 3(m + -4) + 5 Combine like terms: 10m + -6m = 4m -6 + 4m = 3(m + -4) + 5 Reorder the terms: -6 + 4m = 3(-4 + m) + 5 -6 + 4m = (-4 * 3 + m * 3) + 5 -6 + 4m = (-12 + 3m) + 5 Reorder the terms: -6 + 4m = -12 + 5 + 3m Combine like terms: -12 + 5 = -7 -6 + 4m = -7 + 3m Solving -6 + 4m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -6 + 4m + -3m = -7 + 3m + -3m Combine like terms: 4m + -3m = 1m -6 + 1m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 -6 + 1m = -7 + 0 -6 + 1m = -7 Add '6' to each side of the equation. -6 + 6 + 1m = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 1m = -7 + 6 1m = -7 + 6 Combine like terms: -7 + 6 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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