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Simplifying 75 + -9t = 5(-4 + 2t) 75 + -9t = (-4 * 5 + 2t * 5) 75 + -9t = (-20 + 10t) Solving 75 + -9t = -20 + 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 = -20 + 10t + -10t Combine like terms: -9t + -10t = -19t 75 + -19t = -20 + 10t + -10t Combine like terms: 10t + -10t = 0 75 + -19t = -20 + 0 75 + -19t = -20 Add '-75' to each side of the equation. 75 + -75 + -19t = -20 + -75 Combine like terms: 75 + -75 = 0 0 + -19t = -20 + -75 -19t = -20 + -75 Combine like terms: -20 + -75 = -95 -19t = -95 Divide each side by '-19'. t = 5 Simplifying t = 5
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