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Simplifying 4(2t + -1) + 3t = 8t Reorder the terms: 4(-1 + 2t) + 3t = 8t (-1 * 4 + 2t * 4) + 3t = 8t (-4 + 8t) + 3t = 8t Combine like terms: 8t + 3t = 11t -4 + 11t = 8t Solving -4 + 11t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -4 + 11t + -8t = 8t + -8t Combine like terms: 11t + -8t = 3t -4 + 3t = 8t + -8t Combine like terms: 8t + -8t = 0 -4 + 3t = 0 Add '4' to each side of the equation. -4 + 4 + 3t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 0 + 4 3t = 0 + 4 Combine like terms: 0 + 4 = 4 3t = 4 Divide each side by '3'. t = 1.333333333 Simplifying t = 1.333333333
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