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Simplifying 7(7 + 4m) = 7(6 + -5m) (7 * 7 + 4m * 7) = 7(6 + -5m) (49 + 28m) = 7(6 + -5m) 49 + 28m = (6 * 7 + -5m * 7) 49 + 28m = (42 + -35m) Solving 49 + 28m = 42 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. 49 + 28m + 35m = 42 + -35m + 35m Combine like terms: 28m + 35m = 63m 49 + 63m = 42 + -35m + 35m Combine like terms: -35m + 35m = 0 49 + 63m = 42 + 0 49 + 63m = 42 Add '-49' to each side of the equation. 49 + -49 + 63m = 42 + -49 Combine like terms: 49 + -49 = 0 0 + 63m = 42 + -49 63m = 42 + -49 Combine like terms: 42 + -49 = -7 63m = -7 Divide each side by '63'. m = -0.1111111111 Simplifying m = -0.1111111111
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