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Simplifying 5(2u + -3) + -13u = 10u + -15 + -13u Reorder the terms: 5(-3 + 2u) + -13u = 10u + -15 + -13u (-3 * 5 + 2u * 5) + -13u = 10u + -15 + -13u (-15 + 10u) + -13u = 10u + -15 + -13u Combine like terms: 10u + -13u = -3u -15 + -3u = 10u + -15 + -13u Reorder the terms: -15 + -3u = -15 + 10u + -13u Combine like terms: 10u + -13u = -3u -15 + -3u = -15 + -3u Add '15' to each side of the equation. -15 + 15 + -3u = -15 + 15 + -3u Combine like terms: -15 + 15 = 0 0 + -3u = -15 + 15 + -3u -3u = -15 + 15 + -3u Combine like terms: -15 + 15 = 0 -3u = 0 + -3u -3u = -3u Add '3u' to each side of the equation. -3u + 3u = -3u + 3u Combine like terms: -3u + 3u = 0 0 = -3u + 3u Combine like terms: -3u + 3u = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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