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Simplifying 4(2t + 6) = 16t Reorder the terms: 4(6 + 2t) = 16t (6 * 4 + 2t * 4) = 16t (24 + 8t) = 16t Solving 24 + 8t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 24 + 8t + -16t = 16t + -16t Combine like terms: 8t + -16t = -8t 24 + -8t = 16t + -16t Combine like terms: 16t + -16t = 0 24 + -8t = 0 Add '-24' to each side of the equation. 24 + -24 + -8t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8t = 0 + -24 -8t = 0 + -24 Combine like terms: 0 + -24 = -24 -8t = -24 Divide each side by '-8'. t = 3 Simplifying t = 3
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