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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 = 14 14 + -4t = 3t Solving 14 + -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. 14 + -4t + -3t = 3t + -3t Combine like terms: -4t + -3t = -7t 14 + -7t = 3t + -3t Combine like terms: 3t + -3t = 0 14 + -7t = 0 Add '-14' to each side of the equation. 14 + -14 + -7t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7t = 0 + -14 -7t = 0 + -14 Combine like terms: 0 + -14 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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