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Simplifying 2(m + -22) + 4(m + -3) = 52 Reorder the terms: 2(-22 + m) + 4(m + -3) = 52 (-22 * 2 + m * 2) + 4(m + -3) = 52 (-44 + 2m) + 4(m + -3) = 52 Reorder the terms: -44 + 2m + 4(-3 + m) = 52 -44 + 2m + (-3 * 4 + m * 4) = 52 -44 + 2m + (-12 + 4m) = 52 Reorder the terms: -44 + -12 + 2m + 4m = 52 Combine like terms: -44 + -12 = -56 -56 + 2m + 4m = 52 Combine like terms: 2m + 4m = 6m -56 + 6m = 52 Solving -56 + 6m = 52 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 + 6m = 52 + 56 Combine like terms: -56 + 56 = 0 0 + 6m = 52 + 56 6m = 52 + 56 Combine like terms: 52 + 56 = 108 6m = 108 Divide each side by '6'. m = 18 Simplifying m = 18
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