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Simplifying 2m + -32 = -8(-2m + -3) Reorder the terms: -32 + 2m = -8(-2m + -3) Reorder the terms: -32 + 2m = -8(-3 + -2m) -32 + 2m = (-3 * -8 + -2m * -8) -32 + 2m = (24 + 16m) Solving -32 + 2m = 24 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -32 + 2m + -16m = 24 + 16m + -16m Combine like terms: 2m + -16m = -14m -32 + -14m = 24 + 16m + -16m Combine like terms: 16m + -16m = 0 -32 + -14m = 24 + 0 -32 + -14m = 24 Add '32' to each side of the equation. -32 + 32 + -14m = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -14m = 24 + 32 -14m = 24 + 32 Combine like terms: 24 + 32 = 56 -14m = 56 Divide each side by '-14'. m = -4 Simplifying m = -4
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