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Simplifying 14 + -1(x + m) = 3(x + 9) * 101 Reorder the terms: 14 + -1(m + x) = 3(x + 9) * 101 14 + (m * -1 + x * -1) = 3(x + 9) * 101 14 + (-1m + -1x) = 3(x + 9) * 101 Reorder the terms: 14 + -1m + -1x = 3(9 + x) * 101 Reorder the terms for easier multiplication: 14 + -1m + -1x = 3 * 101(9 + x) Multiply 3 * 101 14 + -1m + -1x = 303(9 + x) 14 + -1m + -1x = (9 * 303 + x * 303) 14 + -1m + -1x = (2727 + 303x) Solving 14 + -1m + -1x = 2727 + 303x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1m + -14 + -1x = 2727 + -14 + 303x Reorder the terms: 14 + -14 + -1m + -1x = 2727 + -14 + 303x Combine like terms: 14 + -14 = 0 0 + -1m + -1x = 2727 + -14 + 303x -1m + -1x = 2727 + -14 + 303x Combine like terms: 2727 + -14 = 2713 -1m + -1x = 2713 + 303x Add 'x' to each side of the equation. -1m + -1x + x = 2713 + 303x + x Combine like terms: -1x + x = 0 -1m + 0 = 2713 + 303x + x -1m = 2713 + 303x + x Combine like terms: 303x + x = 304x -1m = 2713 + 304x Divide each side by '-1'. m = -2713 + -304x Simplifying m = -2713 + -304x
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