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Simplifying 9 = 2.5(t + -2) + -6 Reorder the terms: 9 = 2.5(-2 + t) + -6 9 = (-2 * 2.5 + t * 2.5) + -6 9 = (-5 + 2.5t) + -6 Reorder the terms: 9 = -5 + -6 + 2.5t Combine like terms: -5 + -6 = -11 9 = -11 + 2.5t Solving 9 = -11 + 2.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5t' to each side of the equation. 9 + -2.5t = -11 + 2.5t + -2.5t Combine like terms: 2.5t + -2.5t = 0.0 9 + -2.5t = -11 + 0.0 9 + -2.5t = -11 Add '-9' to each side of the equation. 9 + -9 + -2.5t = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -2.5t = -11 + -9 -2.5t = -11 + -9 Combine like terms: -11 + -9 = -20 -2.5t = -20 Divide each side by '-2.5'. t = 8 Simplifying t = 8
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