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Simplifying 4t + -2(5 + -1t) = 8 + -3(t + 1) 4t + (5 * -2 + -1t * -2) = 8 + -3(t + 1) 4t + (-10 + 2t) = 8 + -3(t + 1) Reorder the terms: -10 + 4t + 2t = 8 + -3(t + 1) Combine like terms: 4t + 2t = 6t -10 + 6t = 8 + -3(t + 1) Reorder the terms: -10 + 6t = 8 + -3(1 + t) -10 + 6t = 8 + (1 * -3 + t * -3) -10 + 6t = 8 + (-3 + -3t) Combine like terms: 8 + -3 = 5 -10 + 6t = 5 + -3t Solving -10 + 6t = 5 + -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. -10 + 6t + 3t = 5 + -3t + 3t Combine like terms: 6t + 3t = 9t -10 + 9t = 5 + -3t + 3t Combine like terms: -3t + 3t = 0 -10 + 9t = 5 + 0 -10 + 9t = 5 Add '10' to each side of the equation. -10 + 10 + 9t = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 9t = 5 + 10 9t = 5 + 10 Combine like terms: 5 + 10 = 15 9t = 15 Divide each side by '9'. t = 1.666666667 Simplifying t = 1.666666667
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