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Simplifying 7(6t + -17) = 14t + 13 + 17t Reorder the terms: 7(-17 + 6t) = 14t + 13 + 17t (-17 * 7 + 6t * 7) = 14t + 13 + 17t (-119 + 42t) = 14t + 13 + 17t Reorder the terms: -119 + 42t = 13 + 14t + 17t Combine like terms: 14t + 17t = 31t -119 + 42t = 13 + 31t Solving -119 + 42t = 13 + 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. -119 + 42t + -31t = 13 + 31t + -31t Combine like terms: 42t + -31t = 11t -119 + 11t = 13 + 31t + -31t Combine like terms: 31t + -31t = 0 -119 + 11t = 13 + 0 -119 + 11t = 13 Add '119' to each side of the equation. -119 + 119 + 11t = 13 + 119 Combine like terms: -119 + 119 = 0 0 + 11t = 13 + 119 11t = 13 + 119 Combine like terms: 13 + 119 = 132 11t = 132 Divide each side by '11'. t = 12 Simplifying t = 12
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