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Simplifying -3(t + 5) + (4t + 20) = 8 Reorder the terms: -3(5 + t) + (4t + 20) = 8 (5 * -3 + t * -3) + (4t + 20) = 8 (-15 + -3t) + (4t + 20) = 8 Reorder the terms: -15 + -3t + (20 + 4t) = 8 Remove parenthesis around (20 + 4t) -15 + -3t + 20 + 4t = 8 Reorder the terms: -15 + 20 + -3t + 4t = 8 Combine like terms: -15 + 20 = 5 5 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t 5 + 1t = 8 Solving 5 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1t = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 8 + -5 1t = 8 + -5 Combine like terms: 8 + -5 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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