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Simplifying 2(t + 5) = 12t Reorder the terms: 2(5 + t) = 12t (5 * 2 + t * 2) = 12t (10 + 2t) = 12t Solving 10 + 2t = 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 10 + 2t + -12t = 12t + -12t Combine like terms: 2t + -12t = -10t 10 + -10t = 12t + -12t Combine like terms: 12t + -12t = 0 10 + -10t = 0 Add '-10' to each side of the equation. 10 + -10 + -10t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10t = 0 + -10 -10t = 0 + -10 Combine like terms: 0 + -10 = -10 -10t = -10 Divide each side by '-10'. t = 1 Simplifying t = 1
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