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Simplifying 2(M + -24) + 3(M + -3) = 38 Reorder the terms: 2(-24 + M) + 3(M + -3) = 38 (-24 * 2 + M * 2) + 3(M + -3) = 38 (-48 + 2M) + 3(M + -3) = 38 Reorder the terms: -48 + 2M + 3(-3 + M) = 38 -48 + 2M + (-3 * 3 + M * 3) = 38 -48 + 2M + (-9 + 3M) = 38 Reorder the terms: -48 + -9 + 2M + 3M = 38 Combine like terms: -48 + -9 = -57 -57 + 2M + 3M = 38 Combine like terms: 2M + 3M = 5M -57 + 5M = 38 Solving -57 + 5M = 38 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 5M = 38 + 57 Combine like terms: -57 + 57 = 0 0 + 5M = 38 + 57 5M = 38 + 57 Combine like terms: 38 + 57 = 95 5M = 95 Divide each side by '5'. M = 19 Simplifying M = 19
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