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Simplifying 6(t + -3) = 3(9 + -2t) Reorder the terms: 6(-3 + t) = 3(9 + -2t) (-3 * 6 + t * 6) = 3(9 + -2t) (-18 + 6t) = 3(9 + -2t) -18 + 6t = (9 * 3 + -2t * 3) -18 + 6t = (27 + -6t) Solving -18 + 6t = 27 + -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. -18 + 6t + 6t = 27 + -6t + 6t Combine like terms: 6t + 6t = 12t -18 + 12t = 27 + -6t + 6t Combine like terms: -6t + 6t = 0 -18 + 12t = 27 + 0 -18 + 12t = 27 Add '18' to each side of the equation. -18 + 18 + 12t = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 12t = 27 + 18 12t = 27 + 18 Combine like terms: 27 + 18 = 45 12t = 45 Divide each side by '12'. t = 3.75 Simplifying t = 3.75
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