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Simplifying -1(2 + 6m) + 6(-5 + -4m) = 5m + -3m (2 * -1 + 6m * -1) + 6(-5 + -4m) = 5m + -3m (-2 + -6m) + 6(-5 + -4m) = 5m + -3m -2 + -6m + (-5 * 6 + -4m * 6) = 5m + -3m -2 + -6m + (-30 + -24m) = 5m + -3m Reorder the terms: -2 + -30 + -6m + -24m = 5m + -3m Combine like terms: -2 + -30 = -32 -32 + -6m + -24m = 5m + -3m Combine like terms: -6m + -24m = -30m -32 + -30m = 5m + -3m Combine like terms: 5m + -3m = 2m -32 + -30m = 2m Solving -32 + -30m = 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -32 + -30m + -2m = 2m + -2m Combine like terms: -30m + -2m = -32m -32 + -32m = 2m + -2m Combine like terms: 2m + -2m = 0 -32 + -32m = 0 Add '32' to each side of the equation. -32 + 32 + -32m = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -32m = 0 + 32 -32m = 0 + 32 Combine like terms: 0 + 32 = 32 -32m = 32 Divide each side by '-32'. m = -1 Simplifying m = -1
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