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Simplifying 8(m + -3) + 7(3m + 6) = 28(m + 2) + -9 Reorder the terms: 8(-3 + m) + 7(3m + 6) = 28(m + 2) + -9 (-3 * 8 + m * 8) + 7(3m + 6) = 28(m + 2) + -9 (-24 + 8m) + 7(3m + 6) = 28(m + 2) + -9 Reorder the terms: -24 + 8m + 7(6 + 3m) = 28(m + 2) + -9 -24 + 8m + (6 * 7 + 3m * 7) = 28(m + 2) + -9 -24 + 8m + (42 + 21m) = 28(m + 2) + -9 Reorder the terms: -24 + 42 + 8m + 21m = 28(m + 2) + -9 Combine like terms: -24 + 42 = 18 18 + 8m + 21m = 28(m + 2) + -9 Combine like terms: 8m + 21m = 29m 18 + 29m = 28(m + 2) + -9 Reorder the terms: 18 + 29m = 28(2 + m) + -9 18 + 29m = (2 * 28 + m * 28) + -9 18 + 29m = (56 + 28m) + -9 Reorder the terms: 18 + 29m = 56 + -9 + 28m Combine like terms: 56 + -9 = 47 18 + 29m = 47 + 28m Solving 18 + 29m = 47 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. 18 + 29m + -28m = 47 + 28m + -28m Combine like terms: 29m + -28m = 1m 18 + 1m = 47 + 28m + -28m Combine like terms: 28m + -28m = 0 18 + 1m = 47 + 0 18 + 1m = 47 Add '-18' to each side of the equation. 18 + -18 + 1m = 47 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = 47 + -18 1m = 47 + -18 Combine like terms: 47 + -18 = 29 1m = 29 Divide each side by '1'. m = 29 Simplifying m = 29
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