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Simplifying 2(2t + 44) = 0.75(24 + -8t) Reorder the terms: 2(44 + 2t) = 0.75(24 + -8t) (44 * 2 + 2t * 2) = 0.75(24 + -8t) (88 + 4t) = 0.75(24 + -8t) 88 + 4t = (24 * 0.75 + -8t * 0.75) 88 + 4t = (18 + -6t) Solving 88 + 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. 88 + 4t + 6t = 18 + -6t + 6t Combine like terms: 4t + 6t = 10t 88 + 10t = 18 + -6t + 6t Combine like terms: -6t + 6t = 0 88 + 10t = 18 + 0 88 + 10t = 18 Add '-88' to each side of the equation. 88 + -88 + 10t = 18 + -88 Combine like terms: 88 + -88 = 0 0 + 10t = 18 + -88 10t = 18 + -88 Combine like terms: 18 + -88 = -70 10t = -70 Divide each side by '10'. t = -7 Simplifying t = -7
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