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Simplifying 3(2u + -18) + -4 = 3u + -4(3u + -8) Reorder the terms: 3(-18 + 2u) + -4 = 3u + -4(3u + -8) (-18 * 3 + 2u * 3) + -4 = 3u + -4(3u + -8) (-54 + 6u) + -4 = 3u + -4(3u + -8) Reorder the terms: -54 + -4 + 6u = 3u + -4(3u + -8) Combine like terms: -54 + -4 = -58 -58 + 6u = 3u + -4(3u + -8) Reorder the terms: -58 + 6u = 3u + -4(-8 + 3u) -58 + 6u = 3u + (-8 * -4 + 3u * -4) -58 + 6u = 3u + (32 + -12u) Reorder the terms: -58 + 6u = 32 + 3u + -12u Combine like terms: 3u + -12u = -9u -58 + 6u = 32 + -9u Solving -58 + 6u = 32 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. -58 + 6u + 9u = 32 + -9u + 9u Combine like terms: 6u + 9u = 15u -58 + 15u = 32 + -9u + 9u Combine like terms: -9u + 9u = 0 -58 + 15u = 32 + 0 -58 + 15u = 32 Add '58' to each side of the equation. -58 + 58 + 15u = 32 + 58 Combine like terms: -58 + 58 = 0 0 + 15u = 32 + 58 15u = 32 + 58 Combine like terms: 32 + 58 = 90 15u = 90 Divide each side by '15'. u = 6 Simplifying u = 6
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