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Simplifying 2(2t + -2) = 0.75(24 + -8t) Reorder the terms: 2(-2 + 2t) = 0.75(24 + -8t) (-2 * 2 + 2t * 2) = 0.75(24 + -8t) (-4 + 4t) = 0.75(24 + -8t) -4 + 4t = (24 * 0.75 + -8t * 0.75) -4 + 4t = (18 + -6t) Solving -4 + 4t = 18 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -4 + 4t + 6t = 18 + -6t + 6t Combine like terms: 4t + 6t = 10t -4 + 10t = 18 + -6t + 6t Combine like terms: -6t + 6t = 0 -4 + 10t = 18 + 0 -4 + 10t = 18 Add '4' to each side of the equation. -4 + 4 + 10t = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 10t = 18 + 4 10t = 18 + 4 Combine like terms: 18 + 4 = 22 10t = 22 Divide each side by '10'. t = 2.2 Simplifying t = 2.2
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