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Simplifying -12(6m + -11) = 4(1 + -10m) Reorder the terms: -12(-11 + 6m) = 4(1 + -10m) (-11 * -12 + 6m * -12) = 4(1 + -10m) (132 + -72m) = 4(1 + -10m) 132 + -72m = (1 * 4 + -10m * 4) 132 + -72m = (4 + -40m) Solving 132 + -72m = 4 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 132 + -72m + 40m = 4 + -40m + 40m Combine like terms: -72m + 40m = -32m 132 + -32m = 4 + -40m + 40m Combine like terms: -40m + 40m = 0 132 + -32m = 4 + 0 132 + -32m = 4 Add '-132' to each side of the equation. 132 + -132 + -32m = 4 + -132 Combine like terms: 132 + -132 = 0 0 + -32m = 4 + -132 -32m = 4 + -132 Combine like terms: 4 + -132 = -128 -32m = -128 Divide each side by '-32'. m = 4 Simplifying m = 4
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