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Simplifying 3(1 + -1t) = 3(1 + t) + -7 (1 * 3 + -1t * 3) = 3(1 + t) + -7 (3 + -3t) = 3(1 + t) + -7 3 + -3t = (1 * 3 + t * 3) + -7 3 + -3t = (3 + 3t) + -7 Reorder the terms: 3 + -3t = 3 + -7 + 3t Combine like terms: 3 + -7 = -4 3 + -3t = -4 + 3t Solving 3 + -3t = -4 + 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. 3 + -3t + -3t = -4 + 3t + -3t Combine like terms: -3t + -3t = -6t 3 + -6t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + -6t = -4 + 0 3 + -6t = -4 Add '-3' to each side of the equation. 3 + -3 + -6t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = -4 + -3 -6t = -4 + -3 Combine like terms: -4 + -3 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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