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Simplifying (6 + 21t) + -1(3t + -5) = 0 Remove parenthesis around (6 + 21t) 6 + 21t + -1(3t + -5) = 0 Reorder the terms: 6 + 21t + -1(-5 + 3t) = 0 6 + 21t + (-5 * -1 + 3t * -1) = 0 6 + 21t + (5 + -3t) = 0 Reorder the terms: 6 + 5 + 21t + -3t = 0 Combine like terms: 6 + 5 = 11 11 + 21t + -3t = 0 Combine like terms: 21t + -3t = 18t 11 + 18t = 0 Solving 11 + 18t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18t = 0 + -11 18t = 0 + -11 Combine like terms: 0 + -11 = -11 18t = -11 Divide each side by '18'. t = -0.6111111111 Simplifying t = -0.6111111111
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