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Simplifying 3(6t + -2) + -8 = 5 + -1t Reorder the terms: 3(-2 + 6t) + -8 = 5 + -1t (-2 * 3 + 6t * 3) + -8 = 5 + -1t (-6 + 18t) + -8 = 5 + -1t Reorder the terms: -6 + -8 + 18t = 5 + -1t Combine like terms: -6 + -8 = -14 -14 + 18t = 5 + -1t Solving -14 + 18t = 5 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -14 + 18t + t = 5 + -1t + t Combine like terms: 18t + t = 19t -14 + 19t = 5 + -1t + t Combine like terms: -1t + t = 0 -14 + 19t = 5 + 0 -14 + 19t = 5 Add '14' to each side of the equation. -14 + 14 + 19t = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 19t = 5 + 14 19t = 5 + 14 Combine like terms: 5 + 14 = 19 19t = 19 Divide each side by '19'. t = 1 Simplifying t = 1
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