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Simplifying 3(-11 + -5m) = 7(1 + -5m) (-11 * 3 + -5m * 3) = 7(1 + -5m) (-33 + -15m) = 7(1 + -5m) -33 + -15m = (1 * 7 + -5m * 7) -33 + -15m = (7 + -35m) Solving -33 + -15m = 7 + -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. -33 + -15m + 35m = 7 + -35m + 35m Combine like terms: -15m + 35m = 20m -33 + 20m = 7 + -35m + 35m Combine like terms: -35m + 35m = 0 -33 + 20m = 7 + 0 -33 + 20m = 7 Add '33' to each side of the equation. -33 + 33 + 20m = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 20m = 7 + 33 20m = 7 + 33 Combine like terms: 7 + 33 = 40 20m = 40 Divide each side by '20'. m = 2 Simplifying m = 2
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