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Simplifying -3m + -23 = 5m + 90 Reorder the terms: -23 + -3m = 5m + 90 Reorder the terms: -23 + -3m = 90 + 5m Solving -23 + -3m = 90 + 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. -23 + -3m + -5m = 90 + 5m + -5m Combine like terms: -3m + -5m = -8m -23 + -8m = 90 + 5m + -5m Combine like terms: 5m + -5m = 0 -23 + -8m = 90 + 0 -23 + -8m = 90 Add '23' to each side of the equation. -23 + 23 + -8m = 90 + 23 Combine like terms: -23 + 23 = 0 0 + -8m = 90 + 23 -8m = 90 + 23 Combine like terms: 90 + 23 = 113 -8m = 113 Divide each side by '-8'. m = -14.125 Simplifying m = -14.125
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