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Simplifying 4(2t + -1) = 6t Reorder the terms: 4(-1 + 2t) = 6t (-1 * 4 + 2t * 4) = 6t (-4 + 8t) = 6t Solving -4 + 8t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -4 + 8t + -6t = 6t + -6t Combine like terms: 8t + -6t = 2t -4 + 2t = 6t + -6t Combine like terms: 6t + -6t = 0 -4 + 2t = 0 Add '4' to each side of the equation. -4 + 4 + 2t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = 0 + 4 2t = 0 + 4 Combine like terms: 0 + 4 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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