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Simplifying 2(-5t + 5) + -6(2t + -7) + -5(t + 2) = 0 Reorder the terms: 2(5 + -5t) + -6(2t + -7) + -5(t + 2) = 0 (5 * 2 + -5t * 2) + -6(2t + -7) + -5(t + 2) = 0 (10 + -10t) + -6(2t + -7) + -5(t + 2) = 0 Reorder the terms: 10 + -10t + -6(-7 + 2t) + -5(t + 2) = 0 10 + -10t + (-7 * -6 + 2t * -6) + -5(t + 2) = 0 10 + -10t + (42 + -12t) + -5(t + 2) = 0 Reorder the terms: 10 + -10t + 42 + -12t + -5(2 + t) = 0 10 + -10t + 42 + -12t + (2 * -5 + t * -5) = 0 10 + -10t + 42 + -12t + (-10 + -5t) = 0 Reorder the terms: 10 + 42 + -10 + -10t + -12t + -5t = 0 Combine like terms: 10 + 42 = 52 52 + -10 + -10t + -12t + -5t = 0 Combine like terms: 52 + -10 = 42 42 + -10t + -12t + -5t = 0 Combine like terms: -10t + -12t = -22t 42 + -22t + -5t = 0 Combine like terms: -22t + -5t = -27t 42 + -27t = 0 Solving 42 + -27t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -27t = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -27t = 0 + -42 -27t = 0 + -42 Combine like terms: 0 + -42 = -42 -27t = -42 Divide each side by '-27'. t = 1.555555556 Simplifying t = 1.555555556
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