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Simplifying (2t + 4) = 0.75(24 + -8t) Reorder the terms: (4 + 2t) = 0.75(24 + -8t) Remove parenthesis around (4 + 2t) 4 + 2t = 0.75(24 + -8t) 4 + 2t = (24 * 0.75 + -8t * 0.75) 4 + 2t = (18 + -6t) Solving 4 + 2t = 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 + 2t + 6t = 18 + -6t + 6t Combine like terms: 2t + 6t = 8t 4 + 8t = 18 + -6t + 6t Combine like terms: -6t + 6t = 0 4 + 8t = 18 + 0 4 + 8t = 18 Add '-4' to each side of the equation. 4 + -4 + 8t = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 8t = 18 + -4 8t = 18 + -4 Combine like terms: 18 + -4 = 14 8t = 14 Divide each side by '8'. t = 1.75 Simplifying t = 1.75
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