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Simplifying -7u + -42 = 8(u + 6) Reorder the terms: -42 + -7u = 8(u + 6) Reorder the terms: -42 + -7u = 8(6 + u) -42 + -7u = (6 * 8 + u * 8) -42 + -7u = (48 + 8u) Solving -42 + -7u = 48 + 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. -42 + -7u + -8u = 48 + 8u + -8u Combine like terms: -7u + -8u = -15u -42 + -15u = 48 + 8u + -8u Combine like terms: 8u + -8u = 0 -42 + -15u = 48 + 0 -42 + -15u = 48 Add '42' to each side of the equation. -42 + 42 + -15u = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -15u = 48 + 42 -15u = 48 + 42 Combine like terms: 48 + 42 = 90 -15u = 90 Divide each side by '-15'. u = -6 Simplifying u = -6
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