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Simplifying 5m + 2(8m + -9) = 3(m + 4) + -5(2m + 7) Reorder the terms: 5m + 2(-9 + 8m) = 3(m + 4) + -5(2m + 7) 5m + (-9 * 2 + 8m * 2) = 3(m + 4) + -5(2m + 7) 5m + (-18 + 16m) = 3(m + 4) + -5(2m + 7) Reorder the terms: -18 + 5m + 16m = 3(m + 4) + -5(2m + 7) Combine like terms: 5m + 16m = 21m -18 + 21m = 3(m + 4) + -5(2m + 7) Reorder the terms: -18 + 21m = 3(4 + m) + -5(2m + 7) -18 + 21m = (4 * 3 + m * 3) + -5(2m + 7) -18 + 21m = (12 + 3m) + -5(2m + 7) Reorder the terms: -18 + 21m = 12 + 3m + -5(7 + 2m) -18 + 21m = 12 + 3m + (7 * -5 + 2m * -5) -18 + 21m = 12 + 3m + (-35 + -10m) Reorder the terms: -18 + 21m = 12 + -35 + 3m + -10m Combine like terms: 12 + -35 = -23 -18 + 21m = -23 + 3m + -10m Combine like terms: 3m + -10m = -7m -18 + 21m = -23 + -7m Solving -18 + 21m = -23 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -18 + 21m + 7m = -23 + -7m + 7m Combine like terms: 21m + 7m = 28m -18 + 28m = -23 + -7m + 7m Combine like terms: -7m + 7m = 0 -18 + 28m = -23 + 0 -18 + 28m = -23 Add '18' to each side of the equation. -18 + 18 + 28m = -23 + 18 Combine like terms: -18 + 18 = 0 0 + 28m = -23 + 18 28m = -23 + 18 Combine like terms: -23 + 18 = -5 28m = -5 Divide each side by '28'. m = -0.1785714286 Simplifying m = -0.1785714286
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