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Simplifying 75(t + -2) = 100t Reorder the terms: 75(-2 + t) = 100t (-2 * 75 + t * 75) = 100t (-150 + 75t) = 100t Solving -150 + 75t = 100t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-100t' to each side of the equation. -150 + 75t + -100t = 100t + -100t Combine like terms: 75t + -100t = -25t -150 + -25t = 100t + -100t Combine like terms: 100t + -100t = 0 -150 + -25t = 0 Add '150' to each side of the equation. -150 + 150 + -25t = 0 + 150 Combine like terms: -150 + 150 = 0 0 + -25t = 0 + 150 -25t = 0 + 150 Combine like terms: 0 + 150 = 150 -25t = 150 Divide each side by '-25'. t = -6 Simplifying t = -6
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