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Simplifying -5(t + -2) + 8t = 5t + -9 Reorder the terms: -5(-2 + t) + 8t = 5t + -9 (-2 * -5 + t * -5) + 8t = 5t + -9 (10 + -5t) + 8t = 5t + -9 Combine like terms: -5t + 8t = 3t 10 + 3t = 5t + -9 Reorder the terms: 10 + 3t = -9 + 5t Solving 10 + 3t = -9 + 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. 10 + 3t + -5t = -9 + 5t + -5t Combine like terms: 3t + -5t = -2t 10 + -2t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -2t = -9 + 0 10 + -2t = -9 Add '-10' to each side of the equation. 10 + -10 + -2t = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = -9 + -10 -2t = -9 + -10 Combine like terms: -9 + -10 = -19 -2t = -19 Divide each side by '-2'. t = 9.5 Simplifying t = 9.5
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