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Simplifying 6(5m + -8) + -20 = 11(2m + -3) + 3m Reorder the terms: 6(-8 + 5m) + -20 = 11(2m + -3) + 3m (-8 * 6 + 5m * 6) + -20 = 11(2m + -3) + 3m (-48 + 30m) + -20 = 11(2m + -3) + 3m Reorder the terms: -48 + -20 + 30m = 11(2m + -3) + 3m Combine like terms: -48 + -20 = -68 -68 + 30m = 11(2m + -3) + 3m Reorder the terms: -68 + 30m = 11(-3 + 2m) + 3m -68 + 30m = (-3 * 11 + 2m * 11) + 3m -68 + 30m = (-33 + 22m) + 3m Combine like terms: 22m + 3m = 25m -68 + 30m = -33 + 25m Solving -68 + 30m = -33 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. -68 + 30m + -25m = -33 + 25m + -25m Combine like terms: 30m + -25m = 5m -68 + 5m = -33 + 25m + -25m Combine like terms: 25m + -25m = 0 -68 + 5m = -33 + 0 -68 + 5m = -33 Add '68' to each side of the equation. -68 + 68 + 5m = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 5m = -33 + 68 5m = -33 + 68 Combine like terms: -33 + 68 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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