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Simplifying -7(2m + 7) + -1m = 23 + -6m Reorder the terms: -7(7 + 2m) + -1m = 23 + -6m (7 * -7 + 2m * -7) + -1m = 23 + -6m (-49 + -14m) + -1m = 23 + -6m Combine like terms: -14m + -1m = -15m -49 + -15m = 23 + -6m Solving -49 + -15m = 23 + -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. -49 + -15m + 6m = 23 + -6m + 6m Combine like terms: -15m + 6m = -9m -49 + -9m = 23 + -6m + 6m Combine like terms: -6m + 6m = 0 -49 + -9m = 23 + 0 -49 + -9m = 23 Add '49' to each side of the equation. -49 + 49 + -9m = 23 + 49 Combine like terms: -49 + 49 = 0 0 + -9m = 23 + 49 -9m = 23 + 49 Combine like terms: 23 + 49 = 72 -9m = 72 Divide each side by '-9'. m = -8 Simplifying m = -8
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