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Simplifying 15 + -2(7 + 12m) = -16m + -6 + 5(3m + 8) 15 + (7 * -2 + 12m * -2) = -16m + -6 + 5(3m + 8) 15 + (-14 + -24m) = -16m + -6 + 5(3m + 8) Combine like terms: 15 + -14 = 1 1 + -24m = -16m + -6 + 5(3m + 8) Reorder the terms: 1 + -24m = -16m + -6 + 5(8 + 3m) 1 + -24m = -16m + -6 + (8 * 5 + 3m * 5) 1 + -24m = -16m + -6 + (40 + 15m) Reorder the terms: 1 + -24m = -6 + 40 + -16m + 15m Combine like terms: -6 + 40 = 34 1 + -24m = 34 + -16m + 15m Combine like terms: -16m + 15m = -1m 1 + -24m = 34 + -1m Solving 1 + -24m = 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. 1 + -24m + m = 34 + -1m + m Combine like terms: -24m + m = -23m 1 + -23m = 34 + -1m + m Combine like terms: -1m + m = 0 1 + -23m = 34 + 0 1 + -23m = 34 Add '-1' to each side of the equation. 1 + -1 + -23m = 34 + -1 Combine like terms: 1 + -1 = 0 0 + -23m = 34 + -1 -23m = 34 + -1 Combine like terms: 34 + -1 = 33 -23m = 33 Divide each side by '-23'. m = -1.434782609 Simplifying m = -1.434782609
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