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Simplifying 3(2t + -8) = 4(7 + t) Reorder the terms: 3(-8 + 2t) = 4(7 + t) (-8 * 3 + 2t * 3) = 4(7 + t) (-24 + 6t) = 4(7 + t) -24 + 6t = (7 * 4 + t * 4) -24 + 6t = (28 + 4t) Solving -24 + 6t = 28 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -24 + 6t + -4t = 28 + 4t + -4t Combine like terms: 6t + -4t = 2t -24 + 2t = 28 + 4t + -4t Combine like terms: 4t + -4t = 0 -24 + 2t = 28 + 0 -24 + 2t = 28 Add '24' to each side of the equation. -24 + 24 + 2t = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 2t = 28 + 24 2t = 28 + 24 Combine like terms: 28 + 24 = 52 2t = 52 Divide each side by '2'. t = 26 Simplifying t = 26
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