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Simplifying 5(t + 5) + -3t = t + -9 Reorder the terms: 5(5 + t) + -3t = t + -9 (5 * 5 + t * 5) + -3t = t + -9 (25 + 5t) + -3t = t + -9 Combine like terms: 5t + -3t = 2t 25 + 2t = t + -9 Reorder the terms: 25 + 2t = -9 + t Solving 25 + 2t = -9 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 25 + 2t + -1t = -9 + t + -1t Combine like terms: 2t + -1t = 1t 25 + 1t = -9 + t + -1t Combine like terms: t + -1t = 0 25 + 1t = -9 + 0 25 + 1t = -9 Add '-25' to each side of the equation. 25 + -25 + 1t = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 1t = -9 + -25 1t = -9 + -25 Combine like terms: -9 + -25 = -34 1t = -34 Divide each side by '1'. t = -34 Simplifying t = -34
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