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Simplifying -8(2m + -8) = -34 + -2m Reorder the terms: -8(-8 + 2m) = -34 + -2m (-8 * -8 + 2m * -8) = -34 + -2m (64 + -16m) = -34 + -2m Solving 64 + -16m = -34 + -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. 64 + -16m + 2m = -34 + -2m + 2m Combine like terms: -16m + 2m = -14m 64 + -14m = -34 + -2m + 2m Combine like terms: -2m + 2m = 0 64 + -14m = -34 + 0 64 + -14m = -34 Add '-64' to each side of the equation. 64 + -64 + -14m = -34 + -64 Combine like terms: 64 + -64 = 0 0 + -14m = -34 + -64 -14m = -34 + -64 Combine like terms: -34 + -64 = -98 -14m = -98 Divide each side by '-14'. m = 7 Simplifying m = 7
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