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Simplifying -5(4t + -3) + 9t = 2t + -8 Reorder the terms: -5(-3 + 4t) + 9t = 2t + -8 (-3 * -5 + 4t * -5) + 9t = 2t + -8 (15 + -20t) + 9t = 2t + -8 Combine like terms: -20t + 9t = -11t 15 + -11t = 2t + -8 Reorder the terms: 15 + -11t = -8 + 2t Solving 15 + -11t = -8 + 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. 15 + -11t + -2t = -8 + 2t + -2t Combine like terms: -11t + -2t = -13t 15 + -13t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -13t = -8 + 0 15 + -13t = -8 Add '-15' to each side of the equation. 15 + -15 + -13t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -8 + -15 -13t = -8 + -15 Combine like terms: -8 + -15 = -23 -13t = -23 Divide each side by '-13'. t = 1.769230769 Simplifying t = 1.769230769
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