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Simplifying -7u + -32 = -4(u + 2) Reorder the terms: -32 + -7u = -4(u + 2) Reorder the terms: -32 + -7u = -4(2 + u) -32 + -7u = (2 * -4 + u * -4) -32 + -7u = (-8 + -4u) Solving -32 + -7u = -8 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -32 + -7u + 4u = -8 + -4u + 4u Combine like terms: -7u + 4u = -3u -32 + -3u = -8 + -4u + 4u Combine like terms: -4u + 4u = 0 -32 + -3u = -8 + 0 -32 + -3u = -8 Add '32' to each side of the equation. -32 + 32 + -3u = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -3u = -8 + 32 -3u = -8 + 32 Combine like terms: -8 + 32 = 24 -3u = 24 Divide each side by '-3'. u = -8 Simplifying u = -8
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