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Simplifying 5(t + -5) + 5t = 5(2 + 2) + -8 Reorder the terms: 5(-5 + t) + 5t = 5(2 + 2) + -8 (-5 * 5 + t * 5) + 5t = 5(2 + 2) + -8 (-25 + 5t) + 5t = 5(2 + 2) + -8 Combine like terms: 5t + 5t = 10t -25 + 10t = 5(2 + 2) + -8 Combine like terms: 2 + 2 = 4 -25 + 10t = 5(4) + -8 Multiply 5 * 4 -25 + 10t = 20 + -8 Combine like terms: 20 + -8 = 12 -25 + 10t = 12 Solving -25 + 10t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 10t = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 10t = 12 + 25 10t = 12 + 25 Combine like terms: 12 + 25 = 37 10t = 37 Divide each side by '10'. t = 3.7 Simplifying t = 3.7
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