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Simplifying 2(U + -7) + -1 = -3(-6U + 7) + -4U Reorder the terms: 2(-7 + U) + -1 = -3(-6U + 7) + -4U (-7 * 2 + U * 2) + -1 = -3(-6U + 7) + -4U (-14 + 2U) + -1 = -3(-6U + 7) + -4U Reorder the terms: -14 + -1 + 2U = -3(-6U + 7) + -4U Combine like terms: -14 + -1 = -15 -15 + 2U = -3(-6U + 7) + -4U Reorder the terms: -15 + 2U = -3(7 + -6U) + -4U -15 + 2U = (7 * -3 + -6U * -3) + -4U -15 + 2U = (-21 + 18U) + -4U Combine like terms: 18U + -4U = 14U -15 + 2U = -21 + 14U Solving -15 + 2U = -21 + 14U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-14U' to each side of the equation. -15 + 2U + -14U = -21 + 14U + -14U Combine like terms: 2U + -14U = -12U -15 + -12U = -21 + 14U + -14U Combine like terms: 14U + -14U = 0 -15 + -12U = -21 + 0 -15 + -12U = -21 Add '15' to each side of the equation. -15 + 15 + -12U = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -12U = -21 + 15 -12U = -21 + 15 Combine like terms: -21 + 15 = -6 -12U = -6 Divide each side by '-12'. U = 0.5 Simplifying U = 0.5
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