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Simplifying 7(u + -7) + -3 = -6(-4u + 8) + -9u Reorder the terms: 7(-7 + u) + -3 = -6(-4u + 8) + -9u (-7 * 7 + u * 7) + -3 = -6(-4u + 8) + -9u (-49 + 7u) + -3 = -6(-4u + 8) + -9u Reorder the terms: -49 + -3 + 7u = -6(-4u + 8) + -9u Combine like terms: -49 + -3 = -52 -52 + 7u = -6(-4u + 8) + -9u Reorder the terms: -52 + 7u = -6(8 + -4u) + -9u -52 + 7u = (8 * -6 + -4u * -6) + -9u -52 + 7u = (-48 + 24u) + -9u Combine like terms: 24u + -9u = 15u -52 + 7u = -48 + 15u Solving -52 + 7u = -48 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -52 + 7u + -15u = -48 + 15u + -15u Combine like terms: 7u + -15u = -8u -52 + -8u = -48 + 15u + -15u Combine like terms: 15u + -15u = 0 -52 + -8u = -48 + 0 -52 + -8u = -48 Add '52' to each side of the equation. -52 + 52 + -8u = -48 + 52 Combine like terms: -52 + 52 = 0 0 + -8u = -48 + 52 -8u = -48 + 52 Combine like terms: -48 + 52 = 4 -8u = 4 Divide each side by '-8'. u = -0.5 Simplifying u = -0.5
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