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Simplifying 7(2m + -3) + -3(4m + 8) = 2 Reorder the terms: 7(-3 + 2m) + -3(4m + 8) = 2 (-3 * 7 + 2m * 7) + -3(4m + 8) = 2 (-21 + 14m) + -3(4m + 8) = 2 Reorder the terms: -21 + 14m + -3(8 + 4m) = 2 -21 + 14m + (8 * -3 + 4m * -3) = 2 -21 + 14m + (-24 + -12m) = 2 Reorder the terms: -21 + -24 + 14m + -12m = 2 Combine like terms: -21 + -24 = -45 -45 + 14m + -12m = 2 Combine like terms: 14m + -12m = 2m -45 + 2m = 2 Solving -45 + 2m = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 2m = 2 + 45 Combine like terms: -45 + 45 = 0 0 + 2m = 2 + 45 2m = 2 + 45 Combine like terms: 2 + 45 = 47 2m = 47 Divide each side by '2'. m = 23.5 Simplifying m = 23.5
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