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Simplifying 75t = 175(t + -4) Reorder the terms: 75t = 175(-4 + t) 75t = (-4 * 175 + t * 175) 75t = (-700 + 175t) Solving 75t = -700 + 175t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-175t' to each side of the equation. 75t + -175t = -700 + 175t + -175t Combine like terms: 75t + -175t = -100t -100t = -700 + 175t + -175t Combine like terms: 175t + -175t = 0 -100t = -700 + 0 -100t = -700 Divide each side by '-100'. t = 7 Simplifying t = 7
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