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