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Simplifying 5(2m + -3) = 34 + 21 Reorder the terms: 5(-3 + 2m) = 34 + 21 (-3 * 5 + 2m * 5) = 34 + 21 (-15 + 10m) = 34 + 21 Combine like terms: 34 + 21 = 55 -15 + 10m = 55 Solving -15 + 10m = 55 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10m = 55 + 15 Combine like terms: -15 + 15 = 0 0 + 10m = 55 + 15 10m = 55 + 15 Combine like terms: 55 + 15 = 70 10m = 70 Divide each side by '10'. m = 7 Simplifying m = 7
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