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Simplifying 3t + 3(3 + -1t) = 4 + -3t 3t + (3 * 3 + -1t * 3) = 4 + -3t 3t + (9 + -3t) = 4 + -3t Reorder the terms: 9 + 3t + -3t = 4 + -3t Combine like terms: 3t + -3t = 0 9 + 0 = 4 + -3t 9 = 4 + -3t Solving 9 = 4 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 9 + 3t = 4 + -3t + 3t Combine like terms: -3t + 3t = 0 9 + 3t = 4 + 0 9 + 3t = 4 Add '-9' to each side of the equation. 9 + -9 + 3t = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 3t = 4 + -9 3t = 4 + -9 Combine like terms: 4 + -9 = -5 3t = -5 Divide each side by '3'. t = -1.666666667 Simplifying t = -1.666666667
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