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Simplifying -19 + -1m = 4 + -8(1 + 2m) -19 + -1m = 4 + (1 * -8 + 2m * -8) -19 + -1m = 4 + (-8 + -16m) Combine like terms: 4 + -8 = -4 -19 + -1m = -4 + -16m Solving -19 + -1m = -4 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. -19 + -1m + 16m = -4 + -16m + 16m Combine like terms: -1m + 16m = 15m -19 + 15m = -4 + -16m + 16m Combine like terms: -16m + 16m = 0 -19 + 15m = -4 + 0 -19 + 15m = -4 Add '19' to each side of the equation. -19 + 19 + 15m = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 15m = -4 + 19 15m = -4 + 19 Combine like terms: -4 + 19 = 15 15m = 15 Divide each side by '15'. m = 1 Simplifying m = 1
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