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Simplifying 19(-45u + 37) = 19(-5u + 317) Reorder the terms: 19(37 + -45u) = 19(-5u + 317) (37 * 19 + -45u * 19) = 19(-5u + 317) (703 + -855u) = 19(-5u + 317) Reorder the terms: 703 + -855u = 19(317 + -5u) 703 + -855u = (317 * 19 + -5u * 19) 703 + -855u = (6023 + -95u) Solving 703 + -855u = 6023 + -95u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '95u' to each side of the equation. 703 + -855u + 95u = 6023 + -95u + 95u Combine like terms: -855u + 95u = -760u 703 + -760u = 6023 + -95u + 95u Combine like terms: -95u + 95u = 0 703 + -760u = 6023 + 0 703 + -760u = 6023 Add '-703' to each side of the equation. 703 + -703 + -760u = 6023 + -703 Combine like terms: 703 + -703 = 0 0 + -760u = 6023 + -703 -760u = 6023 + -703 Combine like terms: 6023 + -703 = 5320 -760u = 5320 Divide each side by '-760'. u = -7 Simplifying u = -7
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