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Simplifying 10(10 + 9m) + -7m = 11(4m + 2) (10 * 10 + 9m * 10) + -7m = 11(4m + 2) (100 + 90m) + -7m = 11(4m + 2) Combine like terms: 90m + -7m = 83m 100 + 83m = 11(4m + 2) Reorder the terms: 100 + 83m = 11(2 + 4m) 100 + 83m = (2 * 11 + 4m * 11) 100 + 83m = (22 + 44m) Solving 100 + 83m = 22 + 44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-44m' to each side of the equation. 100 + 83m + -44m = 22 + 44m + -44m Combine like terms: 83m + -44m = 39m 100 + 39m = 22 + 44m + -44m Combine like terms: 44m + -44m = 0 100 + 39m = 22 + 0 100 + 39m = 22 Add '-100' to each side of the equation. 100 + -100 + 39m = 22 + -100 Combine like terms: 100 + -100 = 0 0 + 39m = 22 + -100 39m = 22 + -100 Combine like terms: 22 + -100 = -78 39m = -78 Divide each side by '39'. m = -2 Simplifying m = -2
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