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Simplifying 7m + -8 = 40 + m Reorder the terms: -8 + 7m = 40 + m Solving -8 + 7m = 40 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -8 + 7m + -1m = 40 + m + -1m Combine like terms: 7m + -1m = 6m -8 + 6m = 40 + m + -1m Combine like terms: m + -1m = 0 -8 + 6m = 40 + 0 -8 + 6m = 40 Add '8' to each side of the equation. -8 + 8 + 6m = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 6m = 40 + 8 6m = 40 + 8 Combine like terms: 40 + 8 = 48 6m = 48 Divide each side by '6'. m = 8 Simplifying m = 8
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