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Simplifying 6(m + -3) + -5(6 + -2m) = 15(m + -5) Reorder the terms: 6(-3 + m) + -5(6 + -2m) = 15(m + -5) (-3 * 6 + m * 6) + -5(6 + -2m) = 15(m + -5) (-18 + 6m) + -5(6 + -2m) = 15(m + -5) -18 + 6m + (6 * -5 + -2m * -5) = 15(m + -5) -18 + 6m + (-30 + 10m) = 15(m + -5) Reorder the terms: -18 + -30 + 6m + 10m = 15(m + -5) Combine like terms: -18 + -30 = -48 -48 + 6m + 10m = 15(m + -5) Combine like terms: 6m + 10m = 16m -48 + 16m = 15(m + -5) Reorder the terms: -48 + 16m = 15(-5 + m) -48 + 16m = (-5 * 15 + m * 15) -48 + 16m = (-75 + 15m) Solving -48 + 16m = -75 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -48 + 16m + -15m = -75 + 15m + -15m Combine like terms: 16m + -15m = 1m -48 + 1m = -75 + 15m + -15m Combine like terms: 15m + -15m = 0 -48 + 1m = -75 + 0 -48 + 1m = -75 Add '48' to each side of the equation. -48 + 48 + 1m = -75 + 48 Combine like terms: -48 + 48 = 0 0 + 1m = -75 + 48 1m = -75 + 48 Combine like terms: -75 + 48 = -27 1m = -27 Divide each side by '1'. m = -27 Simplifying m = -27
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