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Simplifying 10 + -2t = 7t + 17 Reorder the terms: 10 + -2t = 17 + 7t Solving 10 + -2t = 17 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10 + -2t + -7t = 17 + 7t + -7t Combine like terms: -2t + -7t = -9t 10 + -9t = 17 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -9t = 17 + 0 10 + -9t = 17 Add '-10' to each side of the equation. 10 + -10 + -9t = 17 + -10 Combine like terms: 10 + -10 = 0 0 + -9t = 17 + -10 -9t = 17 + -10 Combine like terms: 17 + -10 = 7 -9t = 7 Divide each side by '-9'. t = -0.7777777778 Simplifying t = -0.7777777778
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