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Simplifying 5 + -1(-18t + 6) = (14 + -18t) Reorder the terms: 5 + -1(6 + -18t) = (14 + -18t) 5 + (6 * -1 + -18t * -1) = (14 + -18t) 5 + (-6 + 18t) = (14 + -18t) Combine like terms: 5 + -6 = -1 -1 + 18t = (14 + -18t) Remove parenthesis around (14 + -18t) -1 + 18t = 14 + -18t Solving -1 + 18t = 14 + -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. -1 + 18t + 18t = 14 + -18t + 18t Combine like terms: 18t + 18t = 36t -1 + 36t = 14 + -18t + 18t Combine like terms: -18t + 18t = 0 -1 + 36t = 14 + 0 -1 + 36t = 14 Add '1' to each side of the equation. -1 + 1 + 36t = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 36t = 14 + 1 36t = 14 + 1 Combine like terms: 14 + 1 = 15 36t = 15 Divide each side by '36'. t = 0.4166666667 Simplifying t = 0.4166666667
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