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Simplifying 7 + 4(3U + -1) = -2(7U + -9) + 8U Reorder the terms: 7 + 4(-1 + 3U) = -2(7U + -9) + 8U 7 + (-1 * 4 + 3U * 4) = -2(7U + -9) + 8U 7 + (-4 + 12U) = -2(7U + -9) + 8U Combine like terms: 7 + -4 = 3 3 + 12U = -2(7U + -9) + 8U Reorder the terms: 3 + 12U = -2(-9 + 7U) + 8U 3 + 12U = (-9 * -2 + 7U * -2) + 8U 3 + 12U = (18 + -14U) + 8U Combine like terms: -14U + 8U = -6U 3 + 12U = 18 + -6U Solving 3 + 12U = 18 + -6U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '6U' to each side of the equation. 3 + 12U + 6U = 18 + -6U + 6U Combine like terms: 12U + 6U = 18U 3 + 18U = 18 + -6U + 6U Combine like terms: -6U + 6U = 0 3 + 18U = 18 + 0 3 + 18U = 18 Add '-3' to each side of the equation. 3 + -3 + 18U = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 18U = 18 + -3 18U = 18 + -3 Combine like terms: 18 + -3 = 15 18U = 15 Divide each side by '18'. U = 0.8333333333 Simplifying U = 0.8333333333
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