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Simplifying 3u + -48 = 7(u + -4) Reorder the terms: -48 + 3u = 7(u + -4) Reorder the terms: -48 + 3u = 7(-4 + u) -48 + 3u = (-4 * 7 + u * 7) -48 + 3u = (-28 + 7u) Solving -48 + 3u = -28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -48 + 3u + -7u = -28 + 7u + -7u Combine like terms: 3u + -7u = -4u -48 + -4u = -28 + 7u + -7u Combine like terms: 7u + -7u = 0 -48 + -4u = -28 + 0 -48 + -4u = -28 Add '48' to each side of the equation. -48 + 48 + -4u = -28 + 48 Combine like terms: -48 + 48 = 0 0 + -4u = -28 + 48 -4u = -28 + 48 Combine like terms: -28 + 48 = 20 -4u = 20 Divide each side by '-4'. u = -5 Simplifying u = -5
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