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Simplifying 5u + -48 = 8(u + -9) Reorder the terms: -48 + 5u = 8(u + -9) Reorder the terms: -48 + 5u = 8(-9 + u) -48 + 5u = (-9 * 8 + u * 8) -48 + 5u = (-72 + 8u) Solving -48 + 5u = -72 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -48 + 5u + -8u = -72 + 8u + -8u Combine like terms: 5u + -8u = -3u -48 + -3u = -72 + 8u + -8u Combine like terms: 8u + -8u = 0 -48 + -3u = -72 + 0 -48 + -3u = -72 Add '48' to each side of the equation. -48 + 48 + -3u = -72 + 48 Combine like terms: -48 + 48 = 0 0 + -3u = -72 + 48 -3u = -72 + 48 Combine like terms: -72 + 48 = -24 -3u = -24 Divide each side by '-3'. u = 8 Simplifying u = 8
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