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Simplifying 2[2t + -3] = 6[t + 2] Reorder the terms: 2[-3 + 2t] = 6[t + 2] [-3 * 2 + 2t * 2] = 6[t + 2] [-6 + 4t] = 6[t + 2] Reorder the terms: -6 + 4t = 6[2 + t] -6 + 4t = [2 * 6 + t * 6] -6 + 4t = [12 + 6t] Solving -6 + 4t = 12 + 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. -6 + 4t + -6t = 12 + 6t + -6t Combine like terms: 4t + -6t = -2t -6 + -2t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -6 + -2t = 12 + 0 -6 + -2t = 12 Add '6' to each side of the equation. -6 + 6 + -2t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2t = 12 + 6 -2t = 12 + 6 Combine like terms: 12 + 6 = 18 -2t = 18 Divide each side by '-2'. t = -9 Simplifying t = -9
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