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Simplifying 2m + -3 = 2(5m + -2) + 6 Reorder the terms: -3 + 2m = 2(5m + -2) + 6 Reorder the terms: -3 + 2m = 2(-2 + 5m) + 6 -3 + 2m = (-2 * 2 + 5m * 2) + 6 -3 + 2m = (-4 + 10m) + 6 Reorder the terms: -3 + 2m = -4 + 6 + 10m Combine like terms: -4 + 6 = 2 -3 + 2m = 2 + 10m Solving -3 + 2m = 2 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -3 + 2m + -10m = 2 + 10m + -10m Combine like terms: 2m + -10m = -8m -3 + -8m = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -3 + -8m = 2 + 0 -3 + -8m = 2 Add '3' to each side of the equation. -3 + 3 + -8m = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -8m = 2 + 3 -8m = 2 + 3 Combine like terms: 2 + 3 = 5 -8m = 5 Divide each side by '-8'. m = -0.625 Simplifying m = -0.625
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