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Simplifying 4(u + -2) + -7 = -2(-6u + 3) + -2u Reorder the terms: 4(-2 + u) + -7 = -2(-6u + 3) + -2u (-2 * 4 + u * 4) + -7 = -2(-6u + 3) + -2u (-8 + 4u) + -7 = -2(-6u + 3) + -2u Reorder the terms: -8 + -7 + 4u = -2(-6u + 3) + -2u Combine like terms: -8 + -7 = -15 -15 + 4u = -2(-6u + 3) + -2u Reorder the terms: -15 + 4u = -2(3 + -6u) + -2u -15 + 4u = (3 * -2 + -6u * -2) + -2u -15 + 4u = (-6 + 12u) + -2u Combine like terms: 12u + -2u = 10u -15 + 4u = -6 + 10u Solving -15 + 4u = -6 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -15 + 4u + -10u = -6 + 10u + -10u Combine like terms: 4u + -10u = -6u -15 + -6u = -6 + 10u + -10u Combine like terms: 10u + -10u = 0 -15 + -6u = -6 + 0 -15 + -6u = -6 Add '15' to each side of the equation. -15 + 15 + -6u = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -6u = -6 + 15 -6u = -6 + 15 Combine like terms: -6 + 15 = 9 -6u = 9 Divide each side by '-6'. u = -1.5 Simplifying u = -1.5
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