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