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Simplifying 5(m + -8) + -2(8 + -2m) = 8(m + -9) + -1 Reorder the terms: 5(-8 + m) + -2(8 + -2m) = 8(m + -9) + -1 (-8 * 5 + m * 5) + -2(8 + -2m) = 8(m + -9) + -1 (-40 + 5m) + -2(8 + -2m) = 8(m + -9) + -1 -40 + 5m + (8 * -2 + -2m * -2) = 8(m + -9) + -1 -40 + 5m + (-16 + 4m) = 8(m + -9) + -1 Reorder the terms: -40 + -16 + 5m + 4m = 8(m + -9) + -1 Combine like terms: -40 + -16 = -56 -56 + 5m + 4m = 8(m + -9) + -1 Combine like terms: 5m + 4m = 9m -56 + 9m = 8(m + -9) + -1 Reorder the terms: -56 + 9m = 8(-9 + m) + -1 -56 + 9m = (-9 * 8 + m * 8) + -1 -56 + 9m = (-72 + 8m) + -1 Reorder the terms: -56 + 9m = -72 + -1 + 8m Combine like terms: -72 + -1 = -73 -56 + 9m = -73 + 8m Solving -56 + 9m = -73 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -56 + 9m + -8m = -73 + 8m + -8m Combine like terms: 9m + -8m = 1m -56 + 1m = -73 + 8m + -8m Combine like terms: 8m + -8m = 0 -56 + 1m = -73 + 0 -56 + 1m = -73 Add '56' to each side of the equation. -56 + 56 + 1m = -73 + 56 Combine like terms: -56 + 56 = 0 0 + 1m = -73 + 56 1m = -73 + 56 Combine like terms: -73 + 56 = -17 1m = -17 Divide each side by '1'. m = -17 Simplifying m = -17
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