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Simplifying 5m + -1(5 + 4m) = (3 + 2m) + -9 5m + (5 * -1 + 4m * -1) = (3 + 2m) + -9 5m + (-5 + -4m) = (3 + 2m) + -9 Reorder the terms: -5 + 5m + -4m = (3 + 2m) + -9 Combine like terms: 5m + -4m = 1m -5 + 1m = (3 + 2m) + -9 Remove parenthesis around (3 + 2m) -5 + 1m = 3 + 2m + -9 Reorder the terms: -5 + 1m = 3 + -9 + 2m Combine like terms: 3 + -9 = -6 -5 + 1m = -6 + 2m Solving -5 + 1m = -6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -5 + 1m + -2m = -6 + 2m + -2m Combine like terms: 1m + -2m = -1m -5 + -1m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + -1m = -6 + 0 -5 + -1m = -6 Add '5' to each side of the equation. -5 + 5 + -1m = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = -6 + 5 -1m = -6 + 5 Combine like terms: -6 + 5 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1
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