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Simplifying -6(-4u + 7) + -2u = 7(u + -3) + -3 Reorder the terms: -6(7 + -4u) + -2u = 7(u + -3) + -3 (7 * -6 + -4u * -6) + -2u = 7(u + -3) + -3 (-42 + 24u) + -2u = 7(u + -3) + -3 Combine like terms: 24u + -2u = 22u -42 + 22u = 7(u + -3) + -3 Reorder the terms: -42 + 22u = 7(-3 + u) + -3 -42 + 22u = (-3 * 7 + u * 7) + -3 -42 + 22u = (-21 + 7u) + -3 Reorder the terms: -42 + 22u = -21 + -3 + 7u Combine like terms: -21 + -3 = -24 -42 + 22u = -24 + 7u Solving -42 + 22u = -24 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -42 + 22u + -7u = -24 + 7u + -7u Combine like terms: 22u + -7u = 15u -42 + 15u = -24 + 7u + -7u Combine like terms: 7u + -7u = 0 -42 + 15u = -24 + 0 -42 + 15u = -24 Add '42' to each side of the equation. -42 + 42 + 15u = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 15u = -24 + 42 15u = -24 + 42 Combine like terms: -24 + 42 = 18 15u = 18 Divide each side by '15'. u = 1.2 Simplifying u = 1.2
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