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Simplifying 14(9m + 2) = -7(4m + -122) Reorder the terms: 14(2 + 9m) = -7(4m + -122) (2 * 14 + 9m * 14) = -7(4m + -122) (28 + 126m) = -7(4m + -122) Reorder the terms: 28 + 126m = -7(-122 + 4m) 28 + 126m = (-122 * -7 + 4m * -7) 28 + 126m = (854 + -28m) Solving 28 + 126m = 854 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 28 + 126m + 28m = 854 + -28m + 28m Combine like terms: 126m + 28m = 154m 28 + 154m = 854 + -28m + 28m Combine like terms: -28m + 28m = 0 28 + 154m = 854 + 0 28 + 154m = 854 Add '-28' to each side of the equation. 28 + -28 + 154m = 854 + -28 Combine like terms: 28 + -28 = 0 0 + 154m = 854 + -28 154m = 854 + -28 Combine like terms: 854 + -28 = 826 154m = 826 Divide each side by '154'. m = 5.363636364 Simplifying m = 5.363636364
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