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Simplifying 8t + 12 = 2t + -6 Reorder the terms: 12 + 8t = 2t + -6 Reorder the terms: 12 + 8t = -6 + 2t Solving 12 + 8t = -6 + 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. 12 + 8t + -2t = -6 + 2t + -2t Combine like terms: 8t + -2t = 6t 12 + 6t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 6t = -6 + 0 12 + 6t = -6 Add '-12' to each side of the equation. 12 + -12 + 6t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6t = -6 + -12 6t = -6 + -12 Combine like terms: -6 + -12 = -18 6t = -18 Divide each side by '6'. t = -3 Simplifying t = -3
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