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Simplifying -14(13 + -2m) + 11m = 52 + 13m (13 * -14 + -2m * -14) + 11m = 52 + 13m (-182 + 28m) + 11m = 52 + 13m Combine like terms: 28m + 11m = 39m -182 + 39m = 52 + 13m Solving -182 + 39m = 52 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -182 + 39m + -13m = 52 + 13m + -13m Combine like terms: 39m + -13m = 26m -182 + 26m = 52 + 13m + -13m Combine like terms: 13m + -13m = 0 -182 + 26m = 52 + 0 -182 + 26m = 52 Add '182' to each side of the equation. -182 + 182 + 26m = 52 + 182 Combine like terms: -182 + 182 = 0 0 + 26m = 52 + 182 26m = 52 + 182 Combine like terms: 52 + 182 = 234 26m = 234 Divide each side by '26'. m = 9 Simplifying m = 9
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