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Simplifying 5(t + -5) + 5t = (2t + 4) + -11 Reorder the terms: 5(-5 + t) + 5t = (2t + 4) + -11 (-5 * 5 + t * 5) + 5t = (2t + 4) + -11 (-25 + 5t) + 5t = (2t + 4) + -11 Combine like terms: 5t + 5t = 10t -25 + 10t = (2t + 4) + -11 Reorder the terms: -25 + 10t = (4 + 2t) + -11 Remove parenthesis around (4 + 2t) -25 + 10t = 4 + 2t + -11 Reorder the terms: -25 + 10t = 4 + -11 + 2t Combine like terms: 4 + -11 = -7 -25 + 10t = -7 + 2t Solving -25 + 10t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -25 + 10t + -2t = -7 + 2t + -2t Combine like terms: 10t + -2t = 8t -25 + 8t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -25 + 8t = -7 + 0 -25 + 8t = -7 Add '25' to each side of the equation. -25 + 25 + 8t = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 8t = -7 + 25 8t = -7 + 25 Combine like terms: -7 + 25 = 18 8t = 18 Divide each side by '8'. t = 2.25 Simplifying t = 2.25
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