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Simplifying -5(3t + -5) + 2t = 6t + -9 Reorder the terms: -5(-5 + 3t) + 2t = 6t + -9 (-5 * -5 + 3t * -5) + 2t = 6t + -9 (25 + -15t) + 2t = 6t + -9 Combine like terms: -15t + 2t = -13t 25 + -13t = 6t + -9 Reorder the terms: 25 + -13t = -9 + 6t Solving 25 + -13t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 25 + -13t + -6t = -9 + 6t + -6t Combine like terms: -13t + -6t = -19t 25 + -19t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 25 + -19t = -9 + 0 25 + -19t = -9 Add '-25' to each side of the equation. 25 + -25 + -19t = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -19t = -9 + -25 -19t = -9 + -25 Combine like terms: -9 + -25 = -34 -19t = -34 Divide each side by '-19'. t = 1.789473684 Simplifying t = 1.789473684
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