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Simplifying 8t + -6 = 6t + 14 + -2t Reorder the terms: -6 + 8t = 6t + 14 + -2t Reorder the terms: -6 + 8t = 14 + 6t + -2t Combine like terms: 6t + -2t = 4t -6 + 8t = 14 + 4t Solving -6 + 8t = 14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -6 + 8t + -4t = 14 + 4t + -4t Combine like terms: 8t + -4t = 4t -6 + 4t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 -6 + 4t = 14 + 0 -6 + 4t = 14 Add '6' to each side of the equation. -6 + 6 + 4t = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 14 + 6 4t = 14 + 6 Combine like terms: 14 + 6 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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