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Simplifying 15m + 6(2m + -4) = 19 + 2(-18 + m) Reorder the terms: 15m + 6(-4 + 2m) = 19 + 2(-18 + m) 15m + (-4 * 6 + 2m * 6) = 19 + 2(-18 + m) 15m + (-24 + 12m) = 19 + 2(-18 + m) Reorder the terms: -24 + 15m + 12m = 19 + 2(-18 + m) Combine like terms: 15m + 12m = 27m -24 + 27m = 19 + 2(-18 + m) -24 + 27m = 19 + (-18 * 2 + m * 2) -24 + 27m = 19 + (-36 + 2m) Combine like terms: 19 + -36 = -17 -24 + 27m = -17 + 2m Solving -24 + 27m = -17 + 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. -24 + 27m + -2m = -17 + 2m + -2m Combine like terms: 27m + -2m = 25m -24 + 25m = -17 + 2m + -2m Combine like terms: 2m + -2m = 0 -24 + 25m = -17 + 0 -24 + 25m = -17 Add '24' to each side of the equation. -24 + 24 + 25m = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 25m = -17 + 24 25m = -17 + 24 Combine like terms: -17 + 24 = 7 25m = 7 Divide each side by '25'. m = 0.28 Simplifying m = 0.28
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