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Simplifying 6(t + 2) = 2(3r + 2) Reorder the terms: 6(2 + t) = 2(3r + 2) (2 * 6 + t * 6) = 2(3r + 2) (12 + 6t) = 2(3r + 2) Reorder the terms: 12 + 6t = 2(2 + 3r) 12 + 6t = (2 * 2 + 3r * 2) 12 + 6t = (4 + 6r) Solving 12 + 6t = 4 + 6r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6t = 4 + -12 + 6r Combine like terms: 12 + -12 = 0 0 + 6t = 4 + -12 + 6r 6t = 4 + -12 + 6r Combine like terms: 4 + -12 = -8 6t = -8 + 6r Divide each side by '6'. t = -1.333333333 + r Simplifying t = -1.333333333 + r
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