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Simplifying 2.5(t + -2) + -9 = 6 Reorder the terms: 2.5(-2 + t) + -9 = 6 (-2 * 2.5 + t * 2.5) + -9 = 6 (-5 + 2.5t) + -9 = 6 Reorder the terms: -5 + -9 + 2.5t = 6 Combine like terms: -5 + -9 = -14 -14 + 2.5t = 6 Solving -14 + 2.5t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2.5t = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2.5t = 6 + 14 2.5t = 6 + 14 Combine like terms: 6 + 14 = 20 2.5t = 20 Divide each side by '2.5'. t = 8 Simplifying t = 8
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