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Simplifying 3t + -15 + 7t = 15 + -5t Reorder the terms: -15 + 3t + 7t = 15 + -5t Combine like terms: 3t + 7t = 10t -15 + 10t = 15 + -5t Solving -15 + 10t = 15 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -15 + 10t + 5t = 15 + -5t + 5t Combine like terms: 10t + 5t = 15t -15 + 15t = 15 + -5t + 5t Combine like terms: -5t + 5t = 0 -15 + 15t = 15 + 0 -15 + 15t = 15 Add '15' to each side of the equation. -15 + 15 + 15t = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 15t = 15 + 15 15t = 15 + 15 Combine like terms: 15 + 15 = 30 15t = 30 Divide each side by '15'. t = 2 Simplifying t = 2
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