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Simplifying -5(t + -3) + 8t = 5t + -2 Reorder the terms: -5(-3 + t) + 8t = 5t + -2 (-3 * -5 + t * -5) + 8t = 5t + -2 (15 + -5t) + 8t = 5t + -2 Combine like terms: -5t + 8t = 3t 15 + 3t = 5t + -2 Reorder the terms: 15 + 3t = -2 + 5t Solving 15 + 3t = -2 + 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. 15 + 3t + -5t = -2 + 5t + -5t Combine like terms: 3t + -5t = -2t 15 + -2t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -2t = -2 + 0 15 + -2t = -2 Add '-15' to each side of the equation. 15 + -15 + -2t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -2 + -15 -2t = -2 + -15 Combine like terms: -2 + -15 = -17 -2t = -17 Divide each side by '-2'. t = 8.5 Simplifying t = 8.5
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