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Simplifying 9(t + 2) = 6(6x + -3) Reorder the terms: 9(2 + t) = 6(6x + -3) (2 * 9 + t * 9) = 6(6x + -3) (18 + 9t) = 6(6x + -3) Reorder the terms: 18 + 9t = 6(-3 + 6x) 18 + 9t = (-3 * 6 + 6x * 6) 18 + 9t = (-18 + 36x) Solving 18 + 9t = -18 + 36x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9t = -18 + -18 + 36x Combine like terms: 18 + -18 = 0 0 + 9t = -18 + -18 + 36x 9t = -18 + -18 + 36x Combine like terms: -18 + -18 = -36 9t = -36 + 36x Divide each side by '9'. t = -4 + 4x Simplifying t = -4 + 4x
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