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Simplifying 4(2t + -6) = 2(12 + 3t) Reorder the terms: 4(-6 + 2t) = 2(12 + 3t) (-6 * 4 + 2t * 4) = 2(12 + 3t) (-24 + 8t) = 2(12 + 3t) -24 + 8t = (12 * 2 + 3t * 2) -24 + 8t = (24 + 6t) Solving -24 + 8t = 24 + 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. -24 + 8t + -6t = 24 + 6t + -6t Combine like terms: 8t + -6t = 2t -24 + 2t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 -24 + 2t = 24 + 0 -24 + 2t = 24 Add '24' to each side of the equation. -24 + 24 + 2t = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 2t = 24 + 24 2t = 24 + 24 Combine like terms: 24 + 24 = 48 2t = 48 Divide each side by '2'. t = 24 Simplifying t = 24
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