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Simplifying 7(m + -5) = 4(1 + -8m) Reorder the terms: 7(-5 + m) = 4(1 + -8m) (-5 * 7 + m * 7) = 4(1 + -8m) (-35 + 7m) = 4(1 + -8m) -35 + 7m = (1 * 4 + -8m * 4) -35 + 7m = (4 + -32m) Solving -35 + 7m = 4 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. -35 + 7m + 32m = 4 + -32m + 32m Combine like terms: 7m + 32m = 39m -35 + 39m = 4 + -32m + 32m Combine like terms: -32m + 32m = 0 -35 + 39m = 4 + 0 -35 + 39m = 4 Add '35' to each side of the equation. -35 + 35 + 39m = 4 + 35 Combine like terms: -35 + 35 = 0 0 + 39m = 4 + 35 39m = 4 + 35 Combine like terms: 4 + 35 = 39 39m = 39 Divide each side by '39'. m = 1 Simplifying m = 1
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