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Simplifying 3(-1t + 3) + -5(4t + -1) = t + 2 + 3t Reorder the terms: 3(3 + -1t) + -5(4t + -1) = t + 2 + 3t (3 * 3 + -1t * 3) + -5(4t + -1) = t + 2 + 3t (9 + -3t) + -5(4t + -1) = t + 2 + 3t Reorder the terms: 9 + -3t + -5(-1 + 4t) = t + 2 + 3t 9 + -3t + (-1 * -5 + 4t * -5) = t + 2 + 3t 9 + -3t + (5 + -20t) = t + 2 + 3t Reorder the terms: 9 + 5 + -3t + -20t = t + 2 + 3t Combine like terms: 9 + 5 = 14 14 + -3t + -20t = t + 2 + 3t Combine like terms: -3t + -20t = -23t 14 + -23t = t + 2 + 3t Reorder the terms: 14 + -23t = 2 + t + 3t Combine like terms: t + 3t = 4t 14 + -23t = 2 + 4t Solving 14 + -23t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 14 + -23t + -4t = 2 + 4t + -4t Combine like terms: -23t + -4t = -27t 14 + -27t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 14 + -27t = 2 + 0 14 + -27t = 2 Add '-14' to each side of the equation. 14 + -14 + -27t = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -27t = 2 + -14 -27t = 2 + -14 Combine like terms: 2 + -14 = -12 -27t = -12 Divide each side by '-27'. t = 0.4444444444 Simplifying t = 0.4444444444
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