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Simplifying 5(m + -1) = 2 + 6m Reorder the terms: 5(-1 + m) = 2 + 6m (-1 * 5 + m * 5) = 2 + 6m (-5 + 5m) = 2 + 6m Solving -5 + 5m = 2 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -5 + 5m + -6m = 2 + 6m + -6m Combine like terms: 5m + -6m = -1m -5 + -1m = 2 + 6m + -6m Combine like terms: 6m + -6m = 0 -5 + -1m = 2 + 0 -5 + -1m = 2 Add '5' to each side of the equation. -5 + 5 + -1m = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 2 + 5 -1m = 2 + 5 Combine like terms: 2 + 5 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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