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Simplifying t2 + -5t = t(7 + t) Reorder the terms: -5t + t2 = t(7 + t) -5t + t2 = (7 * t + t * t) -5t + t2 = (7t + t2) Add '-1t2' to each side of the equation. -5t + t2 + -1t2 = 7t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -5t + 0 = 7t + t2 + -1t2 -5t = 7t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -5t = 7t + 0 -5t = 7t Solving -5t = 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -5t + -7t = 7t + -7t Combine like terms: -5t + -7t = -12t -12t = 7t + -7t Combine like terms: 7t + -7t = 0 -12t = 0 Divide each side by '-12'. t = 0 Simplifying t = 0
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