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Simplifying 2.5(t + -5) + -6 = 9 Reorder the terms: 2.5(-5 + t) + -6 = 9 (-5 * 2.5 + t * 2.5) + -6 = 9 (-12.5 + 2.5t) + -6 = 9 Reorder the terms: -12.5 + -6 + 2.5t = 9 Combine like terms: -12.5 + -6 = -18.5 -18.5 + 2.5t = 9 Solving -18.5 + 2.5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18.5' to each side of the equation. -18.5 + 18.5 + 2.5t = 9 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + 2.5t = 9 + 18.5 2.5t = 9 + 18.5 Combine like terms: 9 + 18.5 = 27.5 2.5t = 27.5 Divide each side by '2.5'. t = 11 Simplifying t = 11
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