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Simplifying -3(t + 5) + (4t + 2 + -4) = 8 Reorder the terms: -3(5 + t) + (4t + 2 + -4) = 8 (5 * -3 + t * -3) + (4t + 2 + -4) = 8 (-15 + -3t) + (4t + 2 + -4) = 8 Reorder the terms: -15 + -3t + (2 + -4 + 4t) = 8 Combine like terms: 2 + -4 = -2 -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 = 25 1t = 25 Divide each side by '1'. t = 25 Simplifying t = 25
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