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Simplifying -6m + -4(8m + 8) = 32 + -6m Reorder the terms: -6m + -4(8 + 8m) = 32 + -6m -6m + (8 * -4 + 8m * -4) = 32 + -6m -6m + (-32 + -32m) = 32 + -6m Reorder the terms: -32 + -6m + -32m = 32 + -6m Combine like terms: -6m + -32m = -38m -32 + -38m = 32 + -6m Solving -32 + -38m = 32 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -32 + -38m + 6m = 32 + -6m + 6m Combine like terms: -38m + 6m = -32m -32 + -32m = 32 + -6m + 6m Combine like terms: -6m + 6m = 0 -32 + -32m = 32 + 0 -32 + -32m = 32 Add '32' to each side of the equation. -32 + 32 + -32m = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -32m = 32 + 32 -32m = 32 + 32 Combine like terms: 32 + 32 = 64 -32m = 64 Divide each side by '-32'. m = -2 Simplifying m = -2
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