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Simplifying 15m + -2(7 + 12m) = -16m + -6 + 5(3m + 8) 15m + (7 * -2 + 12m * -2) = -16m + -6 + 5(3m + 8) 15m + (-14 + -24m) = -16m + -6 + 5(3m + 8) Reorder the terms: -14 + 15m + -24m = -16m + -6 + 5(3m + 8) Combine like terms: 15m + -24m = -9m -14 + -9m = -16m + -6 + 5(3m + 8) Reorder the terms: -14 + -9m = -16m + -6 + 5(8 + 3m) -14 + -9m = -16m + -6 + (8 * 5 + 3m * 5) -14 + -9m = -16m + -6 + (40 + 15m) Reorder the terms: -14 + -9m = -6 + 40 + -16m + 15m Combine like terms: -6 + 40 = 34 -14 + -9m = 34 + -16m + 15m Combine like terms: -16m + 15m = -1m -14 + -9m = 34 + -1m Solving -14 + -9m = 34 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -14 + -9m + m = 34 + -1m + m Combine like terms: -9m + m = -8m -14 + -8m = 34 + -1m + m Combine like terms: -1m + m = 0 -14 + -8m = 34 + 0 -14 + -8m = 34 Add '14' to each side of the equation. -14 + 14 + -8m = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -8m = 34 + 14 -8m = 34 + 14 Combine like terms: 34 + 14 = 48 -8m = 48 Divide each side by '-8'. m = -6 Simplifying m = -6
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