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Simplifying -5(4t + -5) + 3t = 2t + -6 Reorder the terms: -5(-5 + 4t) + 3t = 2t + -6 (-5 * -5 + 4t * -5) + 3t = 2t + -6 (25 + -20t) + 3t = 2t + -6 Combine like terms: -20t + 3t = -17t 25 + -17t = 2t + -6 Reorder the terms: 25 + -17t = -6 + 2t Solving 25 + -17t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + -17t + -2t = -6 + 2t + -2t Combine like terms: -17t + -2t = -19t 25 + -19t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + -19t = -6 + 0 25 + -19t = -6 Add '-25' to each side of the equation. 25 + -25 + -19t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -19t = -6 + -25 -19t = -6 + -25 Combine like terms: -6 + -25 = -31 -19t = -31 Divide each side by '-19'. t = 1.631578947 Simplifying t = 1.631578947
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