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Simplifying -5m + 3(m + -5) = (2m + 15) Reorder the terms: -5m + 3(-5 + m) = (2m + 15) -5m + (-5 * 3 + m * 3) = (2m + 15) -5m + (-15 + 3m) = (2m + 15) Reorder the terms: -15 + -5m + 3m = (2m + 15) Combine like terms: -5m + 3m = -2m -15 + -2m = (2m + 15) Reorder the terms: -15 + -2m = (15 + 2m) Remove parenthesis around (15 + 2m) -15 + -2m = 15 + 2m Solving -15 + -2m = 15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -15 + -2m + -2m = 15 + 2m + -2m Combine like terms: -2m + -2m = -4m -15 + -4m = 15 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + -4m = 15 + 0 -15 + -4m = 15 Add '15' to each side of the equation. -15 + 15 + -4m = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -4m = 15 + 15 -4m = 15 + 15 Combine like terms: 15 + 15 = 30 -4m = 30 Divide each side by '-4'. m = -7.5 Simplifying m = -7.5
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