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Simplifying 4(u + -9) + -1 = -7(-3u + 7) + -9u Reorder the terms: 4(-9 + u) + -1 = -7(-3u + 7) + -9u (-9 * 4 + u * 4) + -1 = -7(-3u + 7) + -9u (-36 + 4u) + -1 = -7(-3u + 7) + -9u Reorder the terms: -36 + -1 + 4u = -7(-3u + 7) + -9u Combine like terms: -36 + -1 = -37 -37 + 4u = -7(-3u + 7) + -9u Reorder the terms: -37 + 4u = -7(7 + -3u) + -9u -37 + 4u = (7 * -7 + -3u * -7) + -9u -37 + 4u = (-49 + 21u) + -9u Combine like terms: 21u + -9u = 12u -37 + 4u = -49 + 12u Solving -37 + 4u = -49 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -37 + 4u + -12u = -49 + 12u + -12u Combine like terms: 4u + -12u = -8u -37 + -8u = -49 + 12u + -12u Combine like terms: 12u + -12u = 0 -37 + -8u = -49 + 0 -37 + -8u = -49 Add '37' to each side of the equation. -37 + 37 + -8u = -49 + 37 Combine like terms: -37 + 37 = 0 0 + -8u = -49 + 37 -8u = -49 + 37 Combine like terms: -49 + 37 = -12 -8u = -12 Divide each side by '-8'. u = 1.5 Simplifying u = 1.5
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