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Simplifying -1m + 8m = -12(1 + -11m) + 3(4 + 11m) Combine like terms: -1m + 8m = 7m 7m = -12(1 + -11m) + 3(4 + 11m) 7m = (1 * -12 + -11m * -12) + 3(4 + 11m) 7m = (-12 + 132m) + 3(4 + 11m) 7m = -12 + 132m + (4 * 3 + 11m * 3) 7m = -12 + 132m + (12 + 33m) Reorder the terms: 7m = -12 + 12 + 132m + 33m Combine like terms: -12 + 12 = 0 7m = 0 + 132m + 33m 7m = 132m + 33m Combine like terms: 132m + 33m = 165m 7m = 165m Solving 7m = 165m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-165m' to each side of the equation. 7m + -165m = 165m + -165m Combine like terms: 7m + -165m = -158m -158m = 165m + -165m Combine like terms: 165m + -165m = 0 -158m = 0 Divide each side by '-158'. m = 0 Simplifying m = 0
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