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Simplifying 8(-40u + -35) = -8(-9u + -259) Reorder the terms: 8(-35 + -40u) = -8(-9u + -259) (-35 * 8 + -40u * 8) = -8(-9u + -259) (-280 + -320u) = -8(-9u + -259) Reorder the terms: -280 + -320u = -8(-259 + -9u) -280 + -320u = (-259 * -8 + -9u * -8) -280 + -320u = (2072 + 72u) Solving -280 + -320u = 2072 + 72u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-72u' to each side of the equation. -280 + -320u + -72u = 2072 + 72u + -72u Combine like terms: -320u + -72u = -392u -280 + -392u = 2072 + 72u + -72u Combine like terms: 72u + -72u = 0 -280 + -392u = 2072 + 0 -280 + -392u = 2072 Add '280' to each side of the equation. -280 + 280 + -392u = 2072 + 280 Combine like terms: -280 + 280 = 0 0 + -392u = 2072 + 280 -392u = 2072 + 280 Combine like terms: 2072 + 280 = 2352 -392u = 2352 Divide each side by '-392'. u = -6 Simplifying u = -6
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