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Simplifying 0.75(3t + -6) = 9 Reorder the terms: 0.75(-6 + 3t) = 9 (-6 * 0.75 + 3t * 0.75) = 9 (-4.5 + 2.25t) = 9 Solving -4.5 + 2.25t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + 2.25t = 9 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 2.25t = 9 + 4.5 2.25t = 9 + 4.5 Combine like terms: 9 + 4.5 = 13.5 2.25t = 13.5 Divide each side by '2.25'. t = 6 Simplifying t = 6
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