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Simplifying t + u + 33 = 2u + 2t + 17 Reorder the terms: 33 + t + u = 2u + 2t + 17 Reorder the terms: 33 + t + u = 17 + 2t + 2u Solving 33 + t + u = 17 + 2t + 2u Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 33 + t + -2t + u = 17 + 2t + -2t + 2u Combine like terms: t + -2t = -1t 33 + -1t + u = 17 + 2t + -2t + 2u Combine like terms: 2t + -2t = 0 33 + -1t + u = 17 + 0 + 2u 33 + -1t + u = 17 + 2u Add '-33' to each side of the equation. 33 + -1t + -33 + u = 17 + -33 + 2u Reorder the terms: 33 + -33 + -1t + u = 17 + -33 + 2u Combine like terms: 33 + -33 = 0 0 + -1t + u = 17 + -33 + 2u -1t + u = 17 + -33 + 2u Combine like terms: 17 + -33 = -16 -1t + u = -16 + 2u Add '-1u' to each side of the equation. -1t + u + -1u = -16 + 2u + -1u Combine like terms: u + -1u = 0 -1t + 0 = -16 + 2u + -1u -1t = -16 + 2u + -1u Combine like terms: 2u + -1u = 1u -1t = -16 + 1u Divide each side by '-1'. t = 16 + -1u Simplifying t = 16 + -1u
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