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Simplifying 10 + 8t = 9t + -15 + 12 Reorder the terms: 10 + 8t = -15 + 12 + 9t Combine like terms: -15 + 12 = -3 10 + 8t = -3 + 9t Solving 10 + 8t = -3 + 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. 10 + 8t + -9t = -3 + 9t + -9t Combine like terms: 8t + -9t = -1t 10 + -1t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + -1t = -3 + 0 10 + -1t = -3 Add '-10' to each side of the equation. 10 + -10 + -1t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = -3 + -10 -1t = -3 + -10 Combine like terms: -3 + -10 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13
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