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Simplifying 2(6t + -4) = 48 + -2t Reorder the terms: 2(-4 + 6t) = 48 + -2t (-4 * 2 + 6t * 2) = 48 + -2t (-8 + 12t) = 48 + -2t Solving -8 + 12t = 48 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -8 + 12t + 2t = 48 + -2t + 2t Combine like terms: 12t + 2t = 14t -8 + 14t = 48 + -2t + 2t Combine like terms: -2t + 2t = 0 -8 + 14t = 48 + 0 -8 + 14t = 48 Add '8' to each side of the equation. -8 + 8 + 14t = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 14t = 48 + 8 14t = 48 + 8 Combine like terms: 48 + 8 = 56 14t = 56 Divide each side by '14'. t = 4 Simplifying t = 4
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