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Simplifying -1 + 6m = -7m + 2(4m + 7) Reorder the terms: -1 + 6m = -7m + 2(7 + 4m) -1 + 6m = -7m + (7 * 2 + 4m * 2) -1 + 6m = -7m + (14 + 8m) Reorder the terms: -1 + 6m = 14 + -7m + 8m Combine like terms: -7m + 8m = 1m -1 + 6m = 14 + 1m Solving -1 + 6m = 14 + 1m 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. -1 + 6m + -1m = 14 + 1m + -1m Combine like terms: 6m + -1m = 5m -1 + 5m = 14 + 1m + -1m Combine like terms: 1m + -1m = 0 -1 + 5m = 14 + 0 -1 + 5m = 14 Add '1' to each side of the equation. -1 + 1 + 5m = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5m = 14 + 1 5m = 14 + 1 Combine like terms: 14 + 1 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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