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Simplifying 14 + -1(x + -4m) = 3(x + 9) + -10 Reorder the terms: 14 + -1(-4m + x) = 3(x + 9) + -10 14 + (-4m * -1 + x * -1) = 3(x + 9) + -10 14 + (4m + -1x) = 3(x + 9) + -10 Reorder the terms: 14 + 4m + -1x = 3(9 + x) + -10 14 + 4m + -1x = (9 * 3 + x * 3) + -10 14 + 4m + -1x = (27 + 3x) + -10 Reorder the terms: 14 + 4m + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 14 + 4m + -1x = 17 + 3x Solving 14 + 4m + -1x = 17 + 3x 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 + 4m + -14 + -1x = 17 + -14 + 3x Reorder the terms: 14 + -14 + 4m + -1x = 17 + -14 + 3x Combine like terms: 14 + -14 = 0 0 + 4m + -1x = 17 + -14 + 3x 4m + -1x = 17 + -14 + 3x Combine like terms: 17 + -14 = 3 4m + -1x = 3 + 3x Add 'x' to each side of the equation. 4m + -1x + x = 3 + 3x + x Combine like terms: -1x + x = 0 4m + 0 = 3 + 3x + x 4m = 3 + 3x + x Combine like terms: 3x + x = 4x 4m = 3 + 4x Divide each side by '4'. m = 0.75 + x Simplifying m = 0.75 + x
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