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Simplifying 2.5(t + -2) + -6 = 9 Reorder the terms: 2.5(-2 + t) + -6 = 9 (-2 * 2.5 + t * 2.5) + -6 = 9 (-5 + 2.5t) + -6 = 9 Reorder the terms: -5 + -6 + 2.5t = 9 Combine like terms: -5 + -6 = -11 -11 + 2.5t = 9 Solving -11 + 2.5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2.5t = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2.5t = 9 + 11 2.5t = 9 + 11 Combine like terms: 9 + 11 = 20 2.5t = 20 Divide each side by '2.5'. t = 8 Simplifying t = 8
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