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Simplifying 4(u + -7) + -2 = -4(-5u + 3) + -4u Reorder the terms: 4(-7 + u) + -2 = -4(-5u + 3) + -4u (-7 * 4 + u * 4) + -2 = -4(-5u + 3) + -4u (-28 + 4u) + -2 = -4(-5u + 3) + -4u Reorder the terms: -28 + -2 + 4u = -4(-5u + 3) + -4u Combine like terms: -28 + -2 = -30 -30 + 4u = -4(-5u + 3) + -4u Reorder the terms: -30 + 4u = -4(3 + -5u) + -4u -30 + 4u = (3 * -4 + -5u * -4) + -4u -30 + 4u = (-12 + 20u) + -4u Combine like terms: 20u + -4u = 16u -30 + 4u = -12 + 16u Solving -30 + 4u = -12 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -30 + 4u + -16u = -12 + 16u + -16u Combine like terms: 4u + -16u = -12u -30 + -12u = -12 + 16u + -16u Combine like terms: 16u + -16u = 0 -30 + -12u = -12 + 0 -30 + -12u = -12 Add '30' to each side of the equation. -30 + 30 + -12u = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -12u = -12 + 30 -12u = -12 + 30 Combine like terms: -12 + 30 = 18 -12u = 18 Divide each side by '-12'. u = -1.5 Simplifying u = -1.5
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