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Simplifying 9(t + 2) = 6(t + -2) Reorder the terms: 9(2 + t) = 6(t + -2) (2 * 9 + t * 9) = 6(t + -2) (18 + 9t) = 6(t + -2) Reorder the terms: 18 + 9t = 6(-2 + t) 18 + 9t = (-2 * 6 + t * 6) 18 + 9t = (-12 + 6t) Solving 18 + 9t = -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. 18 + 9t + -6t = -12 + 6t + -6t Combine like terms: 9t + -6t = 3t 18 + 3t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 18 + 3t = -12 + 0 18 + 3t = -12 Add '-18' to each side of the equation. 18 + -18 + 3t = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 3t = -12 + -18 3t = -12 + -18 Combine like terms: -12 + -18 = -30 3t = -30 Divide each side by '3'. t = -10 Simplifying t = -10
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