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Simplifying 6u + -12 = -4(u + -7) Reorder the terms: -12 + 6u = -4(u + -7) Reorder the terms: -12 + 6u = -4(-7 + u) -12 + 6u = (-7 * -4 + u * -4) -12 + 6u = (28 + -4u) Solving -12 + 6u = 28 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -12 + 6u + 4u = 28 + -4u + 4u Combine like terms: 6u + 4u = 10u -12 + 10u = 28 + -4u + 4u Combine like terms: -4u + 4u = 0 -12 + 10u = 28 + 0 -12 + 10u = 28 Add '12' to each side of the equation. -12 + 12 + 10u = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 10u = 28 + 12 10u = 28 + 12 Combine like terms: 28 + 12 = 40 10u = 40 Divide each side by '10'. u = 4 Simplifying u = 4
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