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Simplifying 8 + 6(t + 2) = 32 Reorder the terms: 8 + 6(2 + t) = 32 8 + (2 * 6 + t * 6) = 32 8 + (12 + 6t) = 32 Combine like terms: 8 + 12 = 20 20 + 6t = 32 Solving 20 + 6t = 32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6t = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6t = 32 + -20 6t = 32 + -20 Combine like terms: 32 + -20 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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