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Simplifying -5(m + 40) = 5m(10 + 25) Reorder the terms: -5(40 + m) = 5m(10 + 25) (40 * -5 + m * -5) = 5m(10 + 25) (-200 + -5m) = 5m(10 + 25) Combine like terms: 10 + 25 = 35 -200 + -5m = 5m(35) Reorder the terms for easier multiplication: -200 + -5m = 5 * 35m Multiply 5 * 35 -200 + -5m = 175m Solving -200 + -5m = 175m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-175m' to each side of the equation. -200 + -5m + -175m = 175m + -175m Combine like terms: -5m + -175m = -180m -200 + -180m = 175m + -175m Combine like terms: 175m + -175m = 0 -200 + -180m = 0 Add '200' to each side of the equation. -200 + 200 + -180m = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -180m = 0 + 200 -180m = 0 + 200 Combine like terms: 0 + 200 = 200 -180m = 200 Divide each side by '-180'. m = -1.111111111 Simplifying m = -1.111111111
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