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Simplifying 4(u + -3) + 5(u + -7) = 2(u + 8) Reorder the terms: 4(-3 + u) + 5(u + -7) = 2(u + 8) (-3 * 4 + u * 4) + 5(u + -7) = 2(u + 8) (-12 + 4u) + 5(u + -7) = 2(u + 8) Reorder the terms: -12 + 4u + 5(-7 + u) = 2(u + 8) -12 + 4u + (-7 * 5 + u * 5) = 2(u + 8) -12 + 4u + (-35 + 5u) = 2(u + 8) Reorder the terms: -12 + -35 + 4u + 5u = 2(u + 8) Combine like terms: -12 + -35 = -47 -47 + 4u + 5u = 2(u + 8) Combine like terms: 4u + 5u = 9u -47 + 9u = 2(u + 8) Reorder the terms: -47 + 9u = 2(8 + u) -47 + 9u = (8 * 2 + u * 2) -47 + 9u = (16 + 2u) Solving -47 + 9u = 16 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -47 + 9u + -2u = 16 + 2u + -2u Combine like terms: 9u + -2u = 7u -47 + 7u = 16 + 2u + -2u Combine like terms: 2u + -2u = 0 -47 + 7u = 16 + 0 -47 + 7u = 16 Add '47' to each side of the equation. -47 + 47 + 7u = 16 + 47 Combine like terms: -47 + 47 = 0 0 + 7u = 16 + 47 7u = 16 + 47 Combine like terms: 16 + 47 = 63 7u = 63 Divide each side by '7'. u = 9 Simplifying u = 9
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