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Simplifying -6(-12 + 8m) = -8(m + 11) (-12 * -6 + 8m * -6) = -8(m + 11) (72 + -48m) = -8(m + 11) Reorder the terms: 72 + -48m = -8(11 + m) 72 + -48m = (11 * -8 + m * -8) 72 + -48m = (-88 + -8m) Solving 72 + -48m = -88 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 72 + -48m + 8m = -88 + -8m + 8m Combine like terms: -48m + 8m = -40m 72 + -40m = -88 + -8m + 8m Combine like terms: -8m + 8m = 0 72 + -40m = -88 + 0 72 + -40m = -88 Add '-72' to each side of the equation. 72 + -72 + -40m = -88 + -72 Combine like terms: 72 + -72 = 0 0 + -40m = -88 + -72 -40m = -88 + -72 Combine like terms: -88 + -72 = -160 -40m = -160 Divide each side by '-40'. m = 4 Simplifying m = 4
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