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Simplifying 2(2t + 4) = 0.75(24 + -8x) Reorder the terms: 2(4 + 2t) = 0.75(24 + -8x) (4 * 2 + 2t * 2) = 0.75(24 + -8x) (8 + 4t) = 0.75(24 + -8x) 8 + 4t = (24 * 0.75 + -8x * 0.75) 8 + 4t = (18 + -6x) Solving 8 + 4t = 18 + -6x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4t = 18 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + 4t = 18 + -8 + -6x 4t = 18 + -8 + -6x Combine like terms: 18 + -8 = 10 4t = 10 + -6x Divide each side by '4'. t = 2.5 + -1.5x Simplifying t = 2.5 + -1.5x
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