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Simplifying 2t + 15 = 9t + -76 Reorder the terms: 15 + 2t = 9t + -76 Reorder the terms: 15 + 2t = -76 + 9t Solving 15 + 2t = -76 + 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. 15 + 2t + -9t = -76 + 9t + -9t Combine like terms: 2t + -9t = -7t 15 + -7t = -76 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -7t = -76 + 0 15 + -7t = -76 Add '-15' to each side of the equation. 15 + -15 + -7t = -76 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = -76 + -15 -7t = -76 + -15 Combine like terms: -76 + -15 = -91 -7t = -91 Divide each side by '-7'. t = 13 Simplifying t = 13
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