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Simplifying 3m + 10 = 8m + -55 Reorder the terms: 10 + 3m = 8m + -55 Reorder the terms: 10 + 3m = -55 + 8m Solving 10 + 3m = -55 + 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. 10 + 3m + -8m = -55 + 8m + -8m Combine like terms: 3m + -8m = -5m 10 + -5m = -55 + 8m + -8m Combine like terms: 8m + -8m = 0 10 + -5m = -55 + 0 10 + -5m = -55 Add '-10' to each side of the equation. 10 + -10 + -5m = -55 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = -55 + -10 -5m = -55 + -10 Combine like terms: -55 + -10 = -65 -5m = -65 Divide each side by '-5'. m = 13 Simplifying m = 13
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