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Simplifying 2(m + -22) = 42 + -3(m + -3) Reorder the terms: 2(-22 + m) = 42 + -3(m + -3) (-22 * 2 + m * 2) = 42 + -3(m + -3) (-44 + 2m) = 42 + -3(m + -3) Reorder the terms: -44 + 2m = 42 + -3(-3 + m) -44 + 2m = 42 + (-3 * -3 + m * -3) -44 + 2m = 42 + (9 + -3m) Combine like terms: 42 + 9 = 51 -44 + 2m = 51 + -3m Solving -44 + 2m = 51 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -44 + 2m + 3m = 51 + -3m + 3m Combine like terms: 2m + 3m = 5m -44 + 5m = 51 + -3m + 3m Combine like terms: -3m + 3m = 0 -44 + 5m = 51 + 0 -44 + 5m = 51 Add '44' to each side of the equation. -44 + 44 + 5m = 51 + 44 Combine like terms: -44 + 44 = 0 0 + 5m = 51 + 44 5m = 51 + 44 Combine like terms: 51 + 44 = 95 5m = 95 Divide each side by '5'. m = 19 Simplifying m = 19
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