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Simplifying -34 + 6m = -2(-2m + -7) + 8m Reorder the terms: -34 + 6m = -2(-7 + -2m) + 8m -34 + 6m = (-7 * -2 + -2m * -2) + 8m -34 + 6m = (14 + 4m) + 8m Combine like terms: 4m + 8m = 12m -34 + 6m = 14 + 12m Solving -34 + 6m = 14 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -34 + 6m + -12m = 14 + 12m + -12m Combine like terms: 6m + -12m = -6m -34 + -6m = 14 + 12m + -12m Combine like terms: 12m + -12m = 0 -34 + -6m = 14 + 0 -34 + -6m = 14 Add '34' to each side of the equation. -34 + 34 + -6m = 14 + 34 Combine like terms: -34 + 34 = 0 0 + -6m = 14 + 34 -6m = 14 + 34 Combine like terms: 14 + 34 = 48 -6m = 48 Divide each side by '-6'. m = -8 Simplifying m = -8
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