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Simplifying 4t + -3 + -1t + 7 = 3 + -3t Reorder the terms: -3 + 7 + 4t + -1t = 3 + -3t Combine like terms: -3 + 7 = 4 4 + 4t + -1t = 3 + -3t Combine like terms: 4t + -1t = 3t 4 + 3t = 3 + -3t Solving 4 + 3t = 3 + -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. 4 + 3t + 3t = 3 + -3t + 3t Combine like terms: 3t + 3t = 6t 4 + 6t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 6t = 3 + 0 4 + 6t = 3 Add '-4' to each side of the equation. 4 + -4 + 6t = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 6t = 3 + -4 6t = 3 + -4 Combine like terms: 3 + -4 = -1 6t = -1 Divide each side by '6'. t = -0.1666666667 Simplifying t = -0.1666666667
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