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Simplifying 3(t + -2) = 9(t + 2) Reorder the terms: 3(-2 + t) = 9(t + 2) (-2 * 3 + t * 3) = 9(t + 2) (-6 + 3t) = 9(t + 2) Reorder the terms: -6 + 3t = 9(2 + t) -6 + 3t = (2 * 9 + t * 9) -6 + 3t = (18 + 9t) Solving -6 + 3t = 18 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -6 + 3t + -9t = 18 + 9t + -9t Combine like terms: 3t + -9t = -6t -6 + -6t = 18 + 9t + -9t Combine like terms: 9t + -9t = 0 -6 + -6t = 18 + 0 -6 + -6t = 18 Add '6' to each side of the equation. -6 + 6 + -6t = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6t = 18 + 6 -6t = 18 + 6 Combine like terms: 18 + 6 = 24 -6t = 24 Divide each side by '-6'. t = -4 Simplifying t = -4
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