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Simplifying 3(2m + -5) = 2m(5) + -3 Reorder the terms: 3(-5 + 2m) = 2m(5) + -3 (-5 * 3 + 2m * 3) = 2m(5) + -3 (-15 + 6m) = 2m(5) + -3 Reorder the terms for easier multiplication: -15 + 6m = 2 * 5m + -3 Multiply 2 * 5 -15 + 6m = 10m + -3 Reorder the terms: -15 + 6m = -3 + 10m Solving -15 + 6m = -3 + 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. -15 + 6m + -10m = -3 + 10m + -10m Combine like terms: 6m + -10m = -4m -15 + -4m = -3 + 10m + -10m Combine like terms: 10m + -10m = 0 -15 + -4m = -3 + 0 -15 + -4m = -3 Add '15' to each side of the equation. -15 + 15 + -4m = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -4m = -3 + 15 -4m = -3 + 15 Combine like terms: -3 + 15 = 12 -4m = 12 Divide each side by '-4'. m = -3 Simplifying m = -3
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