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Simplifying 2 + 7(-2m + -1) = -117 Reorder the terms: 2 + 7(-1 + -2m) = -117 2 + (-1 * 7 + -2m * 7) = -117 2 + (-7 + -14m) = -117 Combine like terms: 2 + -7 = -5 -5 + -14m = -117 Solving -5 + -14m = -117 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -14m = -117 + 5 Combine like terms: -5 + 5 = 0 0 + -14m = -117 + 5 -14m = -117 + 5 Combine like terms: -117 + 5 = -112 -14m = -112 Divide each side by '-14'. m = 8 Simplifying m = 8
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