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Simplifying 7(3 + -1t) = 2(9 + -1t) + 2t (3 * 7 + -1t * 7) = 2(9 + -1t) + 2t (21 + -7t) = 2(9 + -1t) + 2t 21 + -7t = (9 * 2 + -1t * 2) + 2t 21 + -7t = (18 + -2t) + 2t Combine like terms: -2t + 2t = 0 21 + -7t = 18 + 0 21 + -7t = 18 Solving 21 + -7t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7t = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -7t = 18 + -21 -7t = 18 + -21 Combine like terms: 18 + -21 = -3 -7t = -3 Divide each side by '-7'. t = 0.4285714286 Simplifying t = 0.4285714286
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