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Simplifying 8t + -6 = 2t + 12 Reorder the terms: -6 + 8t = 2t + 12 Reorder the terms: -6 + 8t = 12 + 2t Solving -6 + 8t = 12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -6 + 8t + -2t = 12 + 2t + -2t Combine like terms: 8t + -2t = 6t -6 + 6t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 6t = 12 + 0 -6 + 6t = 12 Add '6' to each side of the equation. -6 + 6 + 6t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6t = 12 + 6 6t = 12 + 6 Combine like terms: 12 + 6 = 18 6t = 18 Divide each side by '6'. t = 3 Simplifying t = 3
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