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Simplifying 2t + -9 = 5t + 30 Reorder the terms: -9 + 2t = 5t + 30 Reorder the terms: -9 + 2t = 30 + 5t Solving -9 + 2t = 30 + 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 = 30 + 5t + -5t Combine like terms: 2t + -5t = -3t -9 + -3t = 30 + 5t + -5t Combine like terms: 5t + -5t = 0 -9 + -3t = 30 + 0 -9 + -3t = 30 Add '9' to each side of the equation. -9 + 9 + -3t = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -3t = 30 + 9 -3t = 30 + 9 Combine like terms: 30 + 9 = 39 -3t = 39 Divide each side by '-3'. t = -13 Simplifying t = -13
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