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Simplifying -15 = -5(m + 5) + 2(m + 2) Reorder the terms: -15 = -5(5 + m) + 2(m + 2) -15 = (5 * -5 + m * -5) + 2(m + 2) -15 = (-25 + -5m) + 2(m + 2) Reorder the terms: -15 = -25 + -5m + 2(2 + m) -15 = -25 + -5m + (2 * 2 + m * 2) -15 = -25 + -5m + (4 + 2m) Reorder the terms: -15 = -25 + 4 + -5m + 2m Combine like terms: -25 + 4 = -21 -15 = -21 + -5m + 2m Combine like terms: -5m + 2m = -3m -15 = -21 + -3m Solving -15 = -21 + -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. -15 + 3m = -21 + -3m + 3m Combine like terms: -3m + 3m = 0 -15 + 3m = -21 + 0 -15 + 3m = -21 Add '15' to each side of the equation. -15 + 15 + 3m = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 3m = -21 + 15 3m = -21 + 15 Combine like terms: -21 + 15 = -6 3m = -6 Divide each side by '3'. m = -2 Simplifying m = -2
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