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Simplifying -3(3t + 5) + (4t + -2) = 8 Reorder the terms: -3(5 + 3t) + (4t + -2) = 8 (5 * -3 + 3t * -3) + (4t + -2) = 8 (-15 + -9t) + (4t + -2) = 8 Reorder the terms: -15 + -9t + (-2 + 4t) = 8 Remove parenthesis around (-2 + 4t) -15 + -9t + -2 + 4t = 8 Reorder the terms: -15 + -2 + -9t + 4t = 8 Combine like terms: -15 + -2 = -17 -17 + -9t + 4t = 8 Combine like terms: -9t + 4t = -5t -17 + -5t = 8 Solving -17 + -5t = 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 + -5t = 8 + 17 Combine like terms: -17 + 17 = 0 0 + -5t = 8 + 17 -5t = 8 + 17 Combine like terms: 8 + 17 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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