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Simplifying 10t + 17 = -17 + 12t Reorder the terms: 17 + 10t = -17 + 12t Solving 17 + 10t = -17 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 17 + 10t + -12t = -17 + 12t + -12t Combine like terms: 10t + -12t = -2t 17 + -2t = -17 + 12t + -12t Combine like terms: 12t + -12t = 0 17 + -2t = -17 + 0 17 + -2t = -17 Add '-17' to each side of the equation. 17 + -17 + -2t = -17 + -17 Combine like terms: 17 + -17 = 0 0 + -2t = -17 + -17 -2t = -17 + -17 Combine like terms: -17 + -17 = -34 -2t = -34 Divide each side by '-2'. t = 17 Simplifying t = 17
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