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Simplifying 2 + -6 + 2(3 + -1t) = (t + -3) * 5 + -3 2 + -6 + (3 * 2 + -1t * 2) = (t + -3) * 5 + -3 2 + -6 + (6 + -2t) = (t + -3) * 5 + -3 Combine like terms: 2 + -6 = -4 -4 + 6 + -2t = (t + -3) * 5 + -3 Combine like terms: -4 + 6 = 2 2 + -2t = (t + -3) * 5 + -3 Reorder the terms: 2 + -2t = (-3 + t) * 5 + -3 Reorder the terms for easier multiplication: 2 + -2t = 5(-3 + t) + -3 2 + -2t = (-3 * 5 + t * 5) + -3 2 + -2t = (-15 + 5t) + -3 Reorder the terms: 2 + -2t = -15 + -3 + 5t Combine like terms: -15 + -3 = -18 2 + -2t = -18 + 5t Solving 2 + -2t = -18 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 2 + -2t + -5t = -18 + 5t + -5t Combine like terms: -2t + -5t = -7t 2 + -7t = -18 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -7t = -18 + 0 2 + -7t = -18 Add '-2' to each side of the equation. 2 + -2 + -7t = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = -18 + -2 -7t = -18 + -2 Combine like terms: -18 + -2 = -20 -7t = -20 Divide each side by '-7'. t = 2.857142857 Simplifying t = 2.857142857
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