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Simplifying 2(m + -22) + 3(m + -4) = 39 Reorder the terms: 2(-22 + m) + 3(m + -4) = 39 (-22 * 2 + m * 2) + 3(m + -4) = 39 (-44 + 2m) + 3(m + -4) = 39 Reorder the terms: -44 + 2m + 3(-4 + m) = 39 -44 + 2m + (-4 * 3 + m * 3) = 39 -44 + 2m + (-12 + 3m) = 39 Reorder the terms: -44 + -12 + 2m + 3m = 39 Combine like terms: -44 + -12 = -56 -56 + 2m + 3m = 39 Combine like terms: 2m + 3m = 5m -56 + 5m = 39 Solving -56 + 5m = 39 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 5m = 39 + 56 Combine like terms: -56 + 56 = 0 0 + 5m = 39 + 56 5m = 39 + 56 Combine like terms: 39 + 56 = 95 5m = 95 Divide each side by '5'. m = 19 Simplifying m = 19
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