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Simplifying -4U + 49 = -7(U + -4) Reorder the terms: 49 + -4U = -7(U + -4) Reorder the terms: 49 + -4U = -7(-4 + U) 49 + -4U = (-4 * -7 + U * -7) 49 + -4U = (28 + -7U) Solving 49 + -4U = 28 + -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. 49 + -4U + 7U = 28 + -7U + 7U Combine like terms: -4U + 7U = 3U 49 + 3U = 28 + -7U + 7U Combine like terms: -7U + 7U = 0 49 + 3U = 28 + 0 49 + 3U = 28 Add '-49' to each side of the equation. 49 + -49 + 3U = 28 + -49 Combine like terms: 49 + -49 = 0 0 + 3U = 28 + -49 3U = 28 + -49 Combine like terms: 28 + -49 = -21 3U = -21 Divide each side by '3'. U = -7 Simplifying U = -7
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