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Simplifying 7t + 2(1 + -5t) = 0 7t + (1 * 2 + -5t * 2) = 0 7t + (2 + -10t) = 0 Reorder the terms: 2 + 7t + -10t = 0 Combine like terms: 7t + -10t = -3t 2 + -3t = 0 Solving 2 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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