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Simplifying 2[t + -1(6 + -1t)] = 6(t + 3) 2[t + (6 * -1 + -1t * -1)] = 6(t + 3) 2[t + (-6 + 1t)] = 6(t + 3) Reorder the terms: 2[-6 + t + 1t] = 6(t + 3) Combine like terms: t + 1t = 2t 2[-6 + 2t] = 6(t + 3) [-6 * 2 + 2t * 2] = 6(t + 3) [-12 + 4t] = 6(t + 3) Reorder the terms: -12 + 4t = 6(3 + t) -12 + 4t = (3 * 6 + t * 6) -12 + 4t = (18 + 6t) Solving -12 + 4t = 18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -12 + 4t + -6t = 18 + 6t + -6t Combine like terms: 4t + -6t = -2t -12 + -2t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + -2t = 18 + 0 -12 + -2t = 18 Add '12' to each side of the equation. -12 + 12 + -2t = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 18 + 12 -2t = 18 + 12 Combine like terms: 18 + 12 = 30 -2t = 30 Divide each side by '-2'. t = -15 Simplifying t = -15
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