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Simplifying 7t + 10t + -3 = 5t + 12 + -3t Reorder the terms: -3 + 7t + 10t = 5t + 12 + -3t Combine like terms: 7t + 10t = 17t -3 + 17t = 5t + 12 + -3t Reorder the terms: -3 + 17t = 12 + 5t + -3t Combine like terms: 5t + -3t = 2t -3 + 17t = 12 + 2t Solving -3 + 17t = 12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -3 + 17t + -2t = 12 + 2t + -2t Combine like terms: 17t + -2t = 15t -3 + 15t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 -3 + 15t = 12 + 0 -3 + 15t = 12 Add '3' to each side of the equation. -3 + 3 + 15t = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 15t = 12 + 3 15t = 12 + 3 Combine like terms: 12 + 3 = 15 15t = 15 Divide each side by '15'. t = 1 Simplifying t = 1
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