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Simplifying 4(2t + -4) = 5t + 2 Reorder the terms: 4(-4 + 2t) = 5t + 2 (-4 * 4 + 2t * 4) = 5t + 2 (-16 + 8t) = 5t + 2 Reorder the terms: -16 + 8t = 2 + 5t Solving -16 + 8t = 2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -16 + 8t + -5t = 2 + 5t + -5t Combine like terms: 8t + -5t = 3t -16 + 3t = 2 + 5t + -5t Combine like terms: 5t + -5t = 0 -16 + 3t = 2 + 0 -16 + 3t = 2 Add '16' to each side of the equation. -16 + 16 + 3t = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3t = 2 + 16 3t = 2 + 16 Combine like terms: 2 + 16 = 18 3t = 18 Divide each side by '3'. t = 6 Simplifying t = 6
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