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Simplifying 4(u + -3) + -1 = -3(-7u + 1) + -1u Reorder the terms: 4(-3 + u) + -1 = -3(-7u + 1) + -1u (-3 * 4 + u * 4) + -1 = -3(-7u + 1) + -1u (-12 + 4u) + -1 = -3(-7u + 1) + -1u Reorder the terms: -12 + -1 + 4u = -3(-7u + 1) + -1u Combine like terms: -12 + -1 = -13 -13 + 4u = -3(-7u + 1) + -1u Reorder the terms: -13 + 4u = -3(1 + -7u) + -1u -13 + 4u = (1 * -3 + -7u * -3) + -1u -13 + 4u = (-3 + 21u) + -1u Combine like terms: 21u + -1u = 20u -13 + 4u = -3 + 20u Solving -13 + 4u = -3 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -13 + 4u + -20u = -3 + 20u + -20u Combine like terms: 4u + -20u = -16u -13 + -16u = -3 + 20u + -20u Combine like terms: 20u + -20u = 0 -13 + -16u = -3 + 0 -13 + -16u = -3 Add '13' to each side of the equation. -13 + 13 + -16u = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -16u = -3 + 13 -16u = -3 + 13 Combine like terms: -3 + 13 = 10 -16u = 10 Divide each side by '-16'. u = -0.625 Simplifying u = -0.625
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