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Simplifying 6(2t + -3) = 3t + -6 Reorder the terms: 6(-3 + 2t) = 3t + -6 (-3 * 6 + 2t * 6) = 3t + -6 (-18 + 12t) = 3t + -6 Reorder the terms: -18 + 12t = -6 + 3t Solving -18 + 12t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -18 + 12t + -3t = -6 + 3t + -3t Combine like terms: 12t + -3t = 9t -18 + 9t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -18 + 9t = -6 + 0 -18 + 9t = -6 Add '18' to each side of the equation. -18 + 18 + 9t = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 9t = -6 + 18 9t = -6 + 18 Combine like terms: -6 + 18 = 12 9t = 12 Divide each side by '9'. t = 1.333333333 Simplifying t = 1.333333333
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