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Simplifying 2(m + -23) = 50 + -4(m + -3) Reorder the terms: 2(-23 + m) = 50 + -4(m + -3) (-23 * 2 + m * 2) = 50 + -4(m + -3) (-46 + 2m) = 50 + -4(m + -3) Reorder the terms: -46 + 2m = 50 + -4(-3 + m) -46 + 2m = 50 + (-3 * -4 + m * -4) -46 + 2m = 50 + (12 + -4m) Combine like terms: 50 + 12 = 62 -46 + 2m = 62 + -4m Solving -46 + 2m = 62 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -46 + 2m + 4m = 62 + -4m + 4m Combine like terms: 2m + 4m = 6m -46 + 6m = 62 + -4m + 4m Combine like terms: -4m + 4m = 0 -46 + 6m = 62 + 0 -46 + 6m = 62 Add '46' to each side of the equation. -46 + 46 + 6m = 62 + 46 Combine like terms: -46 + 46 = 0 0 + 6m = 62 + 46 6m = 62 + 46 Combine like terms: 62 + 46 = 108 6m = 108 Divide each side by '6'. m = 18 Simplifying m = 18
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