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Simplifying -3(m + 1) + 4(-3m + -4) = -16(m + -1) + -8 Reorder the terms: -3(1 + m) + 4(-3m + -4) = -16(m + -1) + -8 (1 * -3 + m * -3) + 4(-3m + -4) = -16(m + -1) + -8 (-3 + -3m) + 4(-3m + -4) = -16(m + -1) + -8 Reorder the terms: -3 + -3m + 4(-4 + -3m) = -16(m + -1) + -8 -3 + -3m + (-4 * 4 + -3m * 4) = -16(m + -1) + -8 -3 + -3m + (-16 + -12m) = -16(m + -1) + -8 Reorder the terms: -3 + -16 + -3m + -12m = -16(m + -1) + -8 Combine like terms: -3 + -16 = -19 -19 + -3m + -12m = -16(m + -1) + -8 Combine like terms: -3m + -12m = -15m -19 + -15m = -16(m + -1) + -8 Reorder the terms: -19 + -15m = -16(-1 + m) + -8 -19 + -15m = (-1 * -16 + m * -16) + -8 -19 + -15m = (16 + -16m) + -8 Reorder the terms: -19 + -15m = 16 + -8 + -16m Combine like terms: 16 + -8 = 8 -19 + -15m = 8 + -16m Solving -19 + -15m = 8 + -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 + -15m + 16m = 8 + -16m + 16m Combine like terms: -15m + 16m = 1m -19 + 1m = 8 + -16m + 16m Combine like terms: -16m + 16m = 0 -19 + 1m = 8 + 0 -19 + 1m = 8 Add '19' to each side of the equation. -19 + 19 + 1m = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 1m = 8 + 19 1m = 8 + 19 Combine like terms: 8 + 19 = 27 1m = 27 Divide each side by '1'. m = 27 Simplifying m = 27
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