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Simplifying 8(m + -9) + 4(8m + -6) = 39(m + -2) + -8 Reorder the terms: 8(-9 + m) + 4(8m + -6) = 39(m + -2) + -8 (-9 * 8 + m * 8) + 4(8m + -6) = 39(m + -2) + -8 (-72 + 8m) + 4(8m + -6) = 39(m + -2) + -8 Reorder the terms: -72 + 8m + 4(-6 + 8m) = 39(m + -2) + -8 -72 + 8m + (-6 * 4 + 8m * 4) = 39(m + -2) + -8 -72 + 8m + (-24 + 32m) = 39(m + -2) + -8 Reorder the terms: -72 + -24 + 8m + 32m = 39(m + -2) + -8 Combine like terms: -72 + -24 = -96 -96 + 8m + 32m = 39(m + -2) + -8 Combine like terms: 8m + 32m = 40m -96 + 40m = 39(m + -2) + -8 Reorder the terms: -96 + 40m = 39(-2 + m) + -8 -96 + 40m = (-2 * 39 + m * 39) + -8 -96 + 40m = (-78 + 39m) + -8 Reorder the terms: -96 + 40m = -78 + -8 + 39m Combine like terms: -78 + -8 = -86 -96 + 40m = -86 + 39m Solving -96 + 40m = -86 + 39m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39m' to each side of the equation. -96 + 40m + -39m = -86 + 39m + -39m Combine like terms: 40m + -39m = 1m -96 + 1m = -86 + 39m + -39m Combine like terms: 39m + -39m = 0 -96 + 1m = -86 + 0 -96 + 1m = -86 Add '96' to each side of the equation. -96 + 96 + 1m = -86 + 96 Combine like terms: -96 + 96 = 0 0 + 1m = -86 + 96 1m = -86 + 96 Combine like terms: -86 + 96 = 10 1m = 10 Divide each side by '1'. m = 10 Simplifying m = 10
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