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Simplifying 2t + 9 = 5t + -6 Reorder the terms: 9 + 2t = 5t + -6 Reorder the terms: 9 + 2t = -6 + 5t Solving 9 + 2t = -6 + 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. 9 + 2t + -5t = -6 + 5t + -5t Combine like terms: 2t + -5t = -3t 9 + -3t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + -3t = -6 + 0 9 + -3t = -6 Add '-9' to each side of the equation. 9 + -9 + -3t = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = -6 + -9 -3t = -6 + -9 Combine like terms: -6 + -9 = -15 -3t = -15 Divide each side by '-3'. t = 5 Simplifying t = 5
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