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Simplifying (t + -2) = 9(t + 2) Reorder the terms: (-2 + t) = 9(t + 2) Remove parenthesis around (-2 + t) -2 + t = 9(t + 2) Reorder the terms: -2 + t = 9(2 + t) -2 + t = (2 * 9 + t * 9) -2 + t = (18 + 9t) Solving -2 + t = 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. -2 + t + -9t = 18 + 9t + -9t Combine like terms: t + -9t = -8t -2 + -8t = 18 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + -8t = 18 + 0 -2 + -8t = 18 Add '2' to each side of the equation. -2 + 2 + -8t = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -8t = 18 + 2 -8t = 18 + 2 Combine like terms: 18 + 2 = 20 -8t = 20 Divide each side by '-8'. t = -2.5 Simplifying t = -2.5
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