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