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Simplifying 2(6t + -7) = 31t + 8 Reorder the terms: 2(-7 + 6t) = 31t + 8 (-7 * 2 + 6t * 2) = 31t + 8 (-14 + 12t) = 31t + 8 Reorder the terms: -14 + 12t = 8 + 31t Solving -14 + 12t = 8 + 31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31t' to each side of the equation. -14 + 12t + -31t = 8 + 31t + -31t Combine like terms: 12t + -31t = -19t -14 + -19t = 8 + 31t + -31t Combine like terms: 31t + -31t = 0 -14 + -19t = 8 + 0 -14 + -19t = 8 Add '14' to each side of the equation. -14 + 14 + -19t = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -19t = 8 + 14 -19t = 8 + 14 Combine like terms: 8 + 14 = 22 -19t = 22 Divide each side by '-19'. t = -1.157894737 Simplifying t = -1.157894737
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