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Simplifying 75 + -9t = 5(-4t + 2t) Combine like terms: -4t + 2t = -2t 75 + -9t = 5(-2t) Remove parenthesis around (-2t) 75 + -9t = 5 * -2t Multiply 5 * -2 75 + -9t = -10t Solving 75 + -9t = -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 75 + -9t + 10t = -10t + 10t Combine like terms: -9t + 10t = 1t 75 + 1t = -10t + 10t Combine like terms: -10t + 10t = 0 75 + 1t = 0 Add '-75' to each side of the equation. 75 + -75 + 1t = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 1t = 0 + -75 1t = 0 + -75 Combine like terms: 0 + -75 = -75 1t = -75 Divide each side by '1'. t = -75 Simplifying t = -75
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