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Simplifying 2 + -10(2 + -1t) = 3(t + -2) 2 + (2 * -10 + -1t * -10) = 3(t + -2) 2 + (-20 + 10t) = 3(t + -2) Combine like terms: 2 + -20 = -18 -18 + 10t = 3(t + -2) Reorder the terms: -18 + 10t = 3(-2 + t) -18 + 10t = (-2 * 3 + t * 3) -18 + 10t = (-6 + 3t) Solving -18 + 10t = -6 + 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. -18 + 10t + -3t = -6 + 3t + -3t Combine like terms: 10t + -3t = 7t -18 + 7t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -18 + 7t = -6 + 0 -18 + 7t = -6 Add '18' to each side of the equation. -18 + 18 + 7t = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 7t = -6 + 18 7t = -6 + 18 Combine like terms: -6 + 18 = 12 7t = 12 Divide each side by '7'. t = 1.714285714 Simplifying t = 1.714285714
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