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Simplifying 5t + -2(t + -7) = 0 Reorder the terms: 5t + -2(-7 + t) = 0 5t + (-7 * -2 + t * -2) = 0 5t + (14 + -2t) = 0 Reorder the terms: 14 + 5t + -2t = 0 Combine like terms: 5t + -2t = 3t 14 + 3t = 0 Solving 14 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3t = 0 + -14 3t = 0 + -14 Combine like terms: 0 + -14 = -14 3t = -14 Divide each side by '3'. t = -4.666666667 Simplifying t = -4.666666667
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