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Simplifying 4(u + -3) + -7 = -4(-6u + 7) + -8u Reorder the terms: 4(-3 + u) + -7 = -4(-6u + 7) + -8u (-3 * 4 + u * 4) + -7 = -4(-6u + 7) + -8u (-12 + 4u) + -7 = -4(-6u + 7) + -8u Reorder the terms: -12 + -7 + 4u = -4(-6u + 7) + -8u Combine like terms: -12 + -7 = -19 -19 + 4u = -4(-6u + 7) + -8u Reorder the terms: -19 + 4u = -4(7 + -6u) + -8u -19 + 4u = (7 * -4 + -6u * -4) + -8u -19 + 4u = (-28 + 24u) + -8u Combine like terms: 24u + -8u = 16u -19 + 4u = -28 + 16u Solving -19 + 4u = -28 + 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. -19 + 4u + -16u = -28 + 16u + -16u Combine like terms: 4u + -16u = -12u -19 + -12u = -28 + 16u + -16u Combine like terms: 16u + -16u = 0 -19 + -12u = -28 + 0 -19 + -12u = -28 Add '19' to each side of the equation. -19 + 19 + -12u = -28 + 19 Combine like terms: -19 + 19 = 0 0 + -12u = -28 + 19 -12u = -28 + 19 Combine like terms: -28 + 19 = -9 -12u = -9 Divide each side by '-12'. u = 0.75 Simplifying u = 0.75
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