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Simplifying 10u * 3 + -20u * 17 = 4u * 6 + -5u * 9 Reorder the terms for easier multiplication: 10 * 3u + -20u * 17 = 4u * 6 + -5u * 9 Multiply 10 * 3 30u + -20u * 17 = 4u * 6 + -5u * 9 Reorder the terms for easier multiplication: 30u + -20 * 17u = 4u * 6 + -5u * 9 Multiply -20 * 17 30u + -340u = 4u * 6 + -5u * 9 Combine like terms: 30u + -340u = -310u -310u = 4u * 6 + -5u * 9 Reorder the terms for easier multiplication: -310u = 4 * 6u + -5u * 9 Multiply 4 * 6 -310u = 24u + -5u * 9 Reorder the terms for easier multiplication: -310u = 24u + -5 * 9u Multiply -5 * 9 -310u = 24u + -45u Combine like terms: 24u + -45u = -21u -310u = -21u Solving -310u = -21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21u' to each side of the equation. -310u + 21u = -21u + 21u Combine like terms: -310u + 21u = -289u -289u = -21u + 21u Combine like terms: -21u + 21u = 0 -289u = 0 Divide each side by '-289'. u = 0 Simplifying u = 0
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