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Simplifying 3(u + -5) + -7 = -4(-5u + 2) + -7u Reorder the terms: 3(-5 + u) + -7 = -4(-5u + 2) + -7u (-5 * 3 + u * 3) + -7 = -4(-5u + 2) + -7u (-15 + 3u) + -7 = -4(-5u + 2) + -7u Reorder the terms: -15 + -7 + 3u = -4(-5u + 2) + -7u Combine like terms: -15 + -7 = -22 -22 + 3u = -4(-5u + 2) + -7u Reorder the terms: -22 + 3u = -4(2 + -5u) + -7u -22 + 3u = (2 * -4 + -5u * -4) + -7u -22 + 3u = (-8 + 20u) + -7u Combine like terms: 20u + -7u = 13u -22 + 3u = -8 + 13u Solving -22 + 3u = -8 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -22 + 3u + -13u = -8 + 13u + -13u Combine like terms: 3u + -13u = -10u -22 + -10u = -8 + 13u + -13u Combine like terms: 13u + -13u = 0 -22 + -10u = -8 + 0 -22 + -10u = -8 Add '22' to each side of the equation. -22 + 22 + -10u = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -10u = -8 + 22 -10u = -8 + 22 Combine like terms: -8 + 22 = 14 -10u = 14 Divide each side by '-10'. u = -1.4 Simplifying u = -1.4
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