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Simplifying 4(3t + -5) = 5(5t + -4) Reorder the terms: 4(-5 + 3t) = 5(5t + -4) (-5 * 4 + 3t * 4) = 5(5t + -4) (-20 + 12t) = 5(5t + -4) Reorder the terms: -20 + 12t = 5(-4 + 5t) -20 + 12t = (-4 * 5 + 5t * 5) -20 + 12t = (-20 + 25t) Add '20' to each side of the equation. -20 + 20 + 12t = -20 + 20 + 25t Combine like terms: -20 + 20 = 0 0 + 12t = -20 + 20 + 25t 12t = -20 + 20 + 25t Combine like terms: -20 + 20 = 0 12t = 0 + 25t 12t = 25t Solving 12t = 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. 12t + -25t = 25t + -25t Combine like terms: 12t + -25t = -13t -13t = 25t + -25t Combine like terms: 25t + -25t = 0 -13t = 0 Divide each side by '-13'. t = 0 Simplifying t = 0
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