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Simplifying 9(t + 25) = 11t + 75 Reorder the terms: 9(25 + t) = 11t + 75 (25 * 9 + t * 9) = 11t + 75 (225 + 9t) = 11t + 75 Reorder the terms: 225 + 9t = 75 + 11t Solving 225 + 9t = 75 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 225 + 9t + -11t = 75 + 11t + -11t Combine like terms: 9t + -11t = -2t 225 + -2t = 75 + 11t + -11t Combine like terms: 11t + -11t = 0 225 + -2t = 75 + 0 225 + -2t = 75 Add '-225' to each side of the equation. 225 + -225 + -2t = 75 + -225 Combine like terms: 225 + -225 = 0 0 + -2t = 75 + -225 -2t = 75 + -225 Combine like terms: 75 + -225 = -150 -2t = -150 Divide each side by '-2'. t = 75 Simplifying t = 75
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