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Simplifying 2(8m + -6) = -34 + 5m Reorder the terms: 2(-6 + 8m) = -34 + 5m (-6 * 2 + 8m * 2) = -34 + 5m (-12 + 16m) = -34 + 5m Solving -12 + 16m = -34 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 16m + -5m = -34 + 5m + -5m Combine like terms: 16m + -5m = 11m -12 + 11m = -34 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + 11m = -34 + 0 -12 + 11m = -34 Add '12' to each side of the equation. -12 + 12 + 11m = -34 + 12 Combine like terms: -12 + 12 = 0 0 + 11m = -34 + 12 11m = -34 + 12 Combine like terms: -34 + 12 = -22 11m = -22 Divide each side by '11'. m = -2 Simplifying m = -2
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