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Simplifying -5(t + -5) + 8t = 5t + -8 Reorder the terms: -5(-5 + t) + 8t = 5t + -8 (-5 * -5 + t * -5) + 8t = 5t + -8 (25 + -5t) + 8t = 5t + -8 Combine like terms: -5t + 8t = 3t 25 + 3t = 5t + -8 Reorder the terms: 25 + 3t = -8 + 5t Solving 25 + 3t = -8 + 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. 25 + 3t + -5t = -8 + 5t + -5t Combine like terms: 3t + -5t = -2t 25 + -2t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 25 + -2t = -8 + 0 25 + -2t = -8 Add '-25' to each side of the equation. 25 + -25 + -2t = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -2t = -8 + -25 -2t = -8 + -25 Combine like terms: -8 + -25 = -33 -2t = -33 Divide each side by '-2'. t = 16.5 Simplifying t = 16.5
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