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Simplifying 5(t + 2) + -2 = 6 + -9 Reorder the terms: 5(2 + t) + -2 = 6 + -9 (2 * 5 + t * 5) + -2 = 6 + -9 (10 + 5t) + -2 = 6 + -9 Reorder the terms: 10 + -2 + 5t = 6 + -9 Combine like terms: 10 + -2 = 8 8 + 5t = 6 + -9 Combine like terms: 6 + -9 = -3 8 + 5t = -3 Solving 8 + 5t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = -3 + -8 5t = -3 + -8 Combine like terms: -3 + -8 = -11 5t = -11 Divide each side by '5'. t = -2.2 Simplifying t = -2.2
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