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Simplifying -5(3t + -5) + 2t = 4t + -5 Reorder the terms: -5(-5 + 3t) + 2t = 4t + -5 (-5 * -5 + 3t * -5) + 2t = 4t + -5 (25 + -15t) + 2t = 4t + -5 Combine like terms: -15t + 2t = -13t 25 + -13t = 4t + -5 Reorder the terms: 25 + -13t = -5 + 4t Solving 25 + -13t = -5 + 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. 25 + -13t + -4t = -5 + 4t + -4t Combine like terms: -13t + -4t = -17t 25 + -17t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 25 + -17t = -5 + 0 25 + -17t = -5 Add '-25' to each side of the equation. 25 + -25 + -17t = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -17t = -5 + -25 -17t = -5 + -25 Combine like terms: -5 + -25 = -30 -17t = -30 Divide each side by '-17'. t = 1.764705882 Simplifying t = 1.764705882
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