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Simplifying 6(t + 3) = 2(9 + -2t) Reorder the terms: 6(3 + t) = 2(9 + -2t) (3 * 6 + t * 6) = 2(9 + -2t) (18 + 6t) = 2(9 + -2t) 18 + 6t = (9 * 2 + -2t * 2) 18 + 6t = (18 + -4t) Add '-18' to each side of the equation. 18 + -18 + 6t = 18 + -18 + -4t Combine like terms: 18 + -18 = 0 0 + 6t = 18 + -18 + -4t 6t = 18 + -18 + -4t Combine like terms: 18 + -18 = 0 6t = 0 + -4t 6t = -4t Solving 6t = -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 6t + 4t = -4t + 4t Combine like terms: 6t + 4t = 10t 10t = -4t + 4t Combine like terms: -4t + 4t = 0 10t = 0 Divide each side by '10'. t = 0.0 Simplifying t = 0.0
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