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Simplifying 2[2 + -3] = 6[t + 2] Combine like terms: 2 + -3 = -1 2[-1] = 6[t + 2] Multiply 2 * -1 -2 = 6[t + 2] Reorder the terms: -2 = 6[2 + t] -2 = [2 * 6 + t * 6] -2 = [12 + 6t] Solving -2 = 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. -2 + -6t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -2 + -6t = 12 + 0 -2 + -6t = 12 Add '2' to each side of the equation. -2 + 2 + -6t = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -6t = 12 + 2 -6t = 12 + 2 Combine like terms: 12 + 2 = 14 -6t = 14 Divide each side by '-6'. t = -2.333333333 Simplifying t = -2.333333333
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