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Simplifying 7(m + -28) + -5(5m + -39) = 35 Reorder the terms: 7(-28 + m) + -5(5m + -39) = 35 (-28 * 7 + m * 7) + -5(5m + -39) = 35 (-196 + 7m) + -5(5m + -39) = 35 Reorder the terms: -196 + 7m + -5(-39 + 5m) = 35 -196 + 7m + (-39 * -5 + 5m * -5) = 35 -196 + 7m + (195 + -25m) = 35 Reorder the terms: -196 + 195 + 7m + -25m = 35 Combine like terms: -196 + 195 = -1 -1 + 7m + -25m = 35 Combine like terms: 7m + -25m = -18m -1 + -18m = 35 Solving -1 + -18m = 35 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -18m = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -18m = 35 + 1 -18m = 35 + 1 Combine like terms: 35 + 1 = 36 -18m = 36 Divide each side by '-18'. m = -2 Simplifying m = -2
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