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Simplifying -3m + 5 = 8m + -116 Reorder the terms: 5 + -3m = 8m + -116 Reorder the terms: 5 + -3m = -116 + 8m Solving 5 + -3m = -116 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 5 + -3m + -8m = -116 + 8m + -8m Combine like terms: -3m + -8m = -11m 5 + -11m = -116 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + -11m = -116 + 0 5 + -11m = -116 Add '-5' to each side of the equation. 5 + -5 + -11m = -116 + -5 Combine like terms: 5 + -5 = 0 0 + -11m = -116 + -5 -11m = -116 + -5 Combine like terms: -116 + -5 = -121 -11m = -121 Divide each side by '-11'. m = 11 Simplifying m = 11
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