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Simplifying 6t + 8 = 2(t + 2) Reorder the terms: 8 + 6t = 2(t + 2) Reorder the terms: 8 + 6t = 2(2 + t) 8 + 6t = (2 * 2 + t * 2) 8 + 6t = (4 + 2t) Solving 8 + 6t = 4 + 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. 8 + 6t + -2t = 4 + 2t + -2t Combine like terms: 6t + -2t = 4t 8 + 4t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + 4t = 4 + 0 8 + 4t = 4 Add '-8' to each side of the equation. 8 + -8 + 4t = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = 4 + -8 4t = 4 + -8 Combine like terms: 4 + -8 = -4 4t = -4 Divide each side by '4'. t = -1 Simplifying t = -1
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