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Simplifying 3t + -7 + 2t = 4 + -9t + 3 Reorder the terms: -7 + 3t + 2t = 4 + -9t + 3 Combine like terms: 3t + 2t = 5t -7 + 5t = 4 + -9t + 3 Reorder the terms: -7 + 5t = 4 + 3 + -9t Combine like terms: 4 + 3 = 7 -7 + 5t = 7 + -9t Solving -7 + 5t = 7 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -7 + 5t + 9t = 7 + -9t + 9t Combine like terms: 5t + 9t = 14t -7 + 14t = 7 + -9t + 9t Combine like terms: -9t + 9t = 0 -7 + 14t = 7 + 0 -7 + 14t = 7 Add '7' to each side of the equation. -7 + 7 + 14t = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 14t = 7 + 7 14t = 7 + 7 Combine like terms: 7 + 7 = 14 14t = 14 Divide each side by '14'. t = 1 Simplifying t = 1
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