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Simplifying (102 + -1t) + 2(116 + -1t) = 64 Remove parenthesis around (102 + -1t) 102 + -1t + 2(116 + -1t) = 64 102 + -1t + (116 * 2 + -1t * 2) = 64 102 + -1t + (232 + -2t) = 64 Reorder the terms: 102 + 232 + -1t + -2t = 64 Combine like terms: 102 + 232 = 334 334 + -1t + -2t = 64 Combine like terms: -1t + -2t = -3t 334 + -3t = 64 Solving 334 + -3t = 64 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-334' to each side of the equation. 334 + -334 + -3t = 64 + -334 Combine like terms: 334 + -334 = 0 0 + -3t = 64 + -334 -3t = 64 + -334 Combine like terms: 64 + -334 = -270 -3t = -270 Divide each side by '-3'. t = 90 Simplifying t = 90
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