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Simplifying 35 + -5(9 + -2t) = 5(t + -1) 35 + (9 * -5 + -2t * -5) = 5(t + -1) 35 + (-45 + 10t) = 5(t + -1) Combine like terms: 35 + -45 = -10 -10 + 10t = 5(t + -1) Reorder the terms: -10 + 10t = 5(-1 + t) -10 + 10t = (-1 * 5 + t * 5) -10 + 10t = (-5 + 5t) Solving -10 + 10t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -10 + 10t + -5t = -5 + 5t + -5t Combine like terms: 10t + -5t = 5t -10 + 5t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + 5t = -5 + 0 -10 + 5t = -5 Add '10' to each side of the equation. -10 + 10 + 5t = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = -5 + 10 5t = -5 + 10 Combine like terms: -5 + 10 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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