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Simplifying -3(t + -5) + (4t + 2) = 8 Reorder the terms: -3(-5 + t) + (4t + 2) = 8 (-5 * -3 + t * -3) + (4t + 2) = 8 (15 + -3t) + (4t + 2) = 8 Reorder the terms: 15 + -3t + (2 + 4t) = 8 Remove parenthesis around (2 + 4t) 15 + -3t + 2 + 4t = 8 Reorder the terms: 15 + 2 + -3t + 4t = 8 Combine like terms: 15 + 2 = 17 17 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t 17 + 1t = 8 Solving 17 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1t = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 1t = 8 + -17 1t = 8 + -17 Combine like terms: 8 + -17 = -9 1t = -9 Divide each side by '1'. t = -9 Simplifying t = -9
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