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Simplifying 2 + -6t + 2(3 + -1t) = (t + -3) * 5 + -3 2 + -6t + (3 * 2 + -1t * 2) = (t + -3) * 5 + -3 2 + -6t + (6 + -2t) = (t + -3) * 5 + -3 Reorder the terms: 2 + 6 + -6t + -2t = (t + -3) * 5 + -3 Combine like terms: 2 + 6 = 8 8 + -6t + -2t = (t + -3) * 5 + -3 Combine like terms: -6t + -2t = -8t 8 + -8t = (t + -3) * 5 + -3 Reorder the terms: 8 + -8t = (-3 + t) * 5 + -3 Reorder the terms for easier multiplication: 8 + -8t = 5(-3 + t) + -3 8 + -8t = (-3 * 5 + t * 5) + -3 8 + -8t = (-15 + 5t) + -3 Reorder the terms: 8 + -8t = -15 + -3 + 5t Combine like terms: -15 + -3 = -18 8 + -8t = -18 + 5t Solving 8 + -8t = -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. 8 + -8t + -5t = -18 + 5t + -5t Combine like terms: -8t + -5t = -13t 8 + -13t = -18 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -13t = -18 + 0 8 + -13t = -18 Add '-8' to each side of the equation. 8 + -8 + -13t = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13t = -18 + -8 -13t = -18 + -8 Combine like terms: -18 + -8 = -26 -13t = -26 Divide each side by '-13'. t = 2 Simplifying t = 2
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