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Simplifying 6t + -14 + -3t + 9 + 2t = 0 Reorder the terms: -14 + 9 + 6t + -3t + 2t = 0 Combine like terms: -14 + 9 = -5 -5 + 6t + -3t + 2t = 0 Combine like terms: 6t + -3t = 3t -5 + 3t + 2t = 0 Combine like terms: 3t + 2t = 5t -5 + 5t = 0 Solving -5 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5t = 0 + 5 5t = 0 + 5 Combine like terms: 0 + 5 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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