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Simplifying 500 = 150 + 25(t + -80) Reorder the terms: 500 = 150 + 25(-80 + t) 500 = 150 + (-80 * 25 + t * 25) 500 = 150 + (-2000 + 25t) Combine like terms: 150 + -2000 = -1850 500 = -1850 + 25t Solving 500 = -1850 + 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. 500 + -25t = -1850 + 25t + -25t Combine like terms: 25t + -25t = 0 500 + -25t = -1850 + 0 500 + -25t = -1850 Add '-500' to each side of the equation. 500 + -500 + -25t = -1850 + -500 Combine like terms: 500 + -500 = 0 0 + -25t = -1850 + -500 -25t = -1850 + -500 Combine like terms: -1850 + -500 = -2350 -25t = -2350 Divide each side by '-25'. t = 94 Simplifying t = 94
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