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Simplifying 7(u + -3) + -9 = -6(-4u + 6) + -2u Reorder the terms: 7(-3 + u) + -9 = -6(-4u + 6) + -2u (-3 * 7 + u * 7) + -9 = -6(-4u + 6) + -2u (-21 + 7u) + -9 = -6(-4u + 6) + -2u Reorder the terms: -21 + -9 + 7u = -6(-4u + 6) + -2u Combine like terms: -21 + -9 = -30 -30 + 7u = -6(-4u + 6) + -2u Reorder the terms: -30 + 7u = -6(6 + -4u) + -2u -30 + 7u = (6 * -6 + -4u * -6) + -2u -30 + 7u = (-36 + 24u) + -2u Combine like terms: 24u + -2u = 22u -30 + 7u = -36 + 22u Solving -30 + 7u = -36 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -30 + 7u + -22u = -36 + 22u + -22u Combine like terms: 7u + -22u = -15u -30 + -15u = -36 + 22u + -22u Combine like terms: 22u + -22u = 0 -30 + -15u = -36 + 0 -30 + -15u = -36 Add '30' to each side of the equation. -30 + 30 + -15u = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -15u = -36 + 30 -15u = -36 + 30 Combine like terms: -36 + 30 = -6 -15u = -6 Divide each side by '-15'. u = 0.4 Simplifying u = 0.4
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