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Simplifying 4(3 + -1t) + -1(3 + -1t) = 6 (3 * 4 + -1t * 4) + -1(3 + -1t) = 6 (12 + -4t) + -1(3 + -1t) = 6 12 + -4t + (3 * -1 + -1t * -1) = 6 12 + -4t + (-3 + 1t) = 6 Reorder the terms: 12 + -3 + -4t + 1t = 6 Combine like terms: 12 + -3 = 9 9 + -4t + 1t = 6 Combine like terms: -4t + 1t = -3t 9 + -3t = 6 Solving 9 + -3t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3t = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = 6 + -9 -3t = 6 + -9 Combine like terms: 6 + -9 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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