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Simplifying 2t + -23 = 40 + 9t Reorder the terms: -23 + 2t = 40 + 9t Solving -23 + 2t = 40 + 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. -23 + 2t + -9t = 40 + 9t + -9t Combine like terms: 2t + -9t = -7t -23 + -7t = 40 + 9t + -9t Combine like terms: 9t + -9t = 0 -23 + -7t = 40 + 0 -23 + -7t = 40 Add '23' to each side of the equation. -23 + 23 + -7t = 40 + 23 Combine like terms: -23 + 23 = 0 0 + -7t = 40 + 23 -7t = 40 + 23 Combine like terms: 40 + 23 = 63 -7t = 63 Divide each side by '-7'. t = -9 Simplifying t = -9
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