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Simplifying 2(5t + -7) = 25t + 9 Reorder the terms: 2(-7 + 5t) = 25t + 9 (-7 * 2 + 5t * 2) = 25t + 9 (-14 + 10t) = 25t + 9 Reorder the terms: -14 + 10t = 9 + 25t Solving -14 + 10t = 9 + 25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25t' to each side of the equation. -14 + 10t + -25t = 9 + 25t + -25t Combine like terms: 10t + -25t = -15t -14 + -15t = 9 + 25t + -25t Combine like terms: 25t + -25t = 0 -14 + -15t = 9 + 0 -14 + -15t = 9 Add '14' to each side of the equation. -14 + 14 + -15t = 9 + 14 Combine like terms: -14 + 14 = 0 0 + -15t = 9 + 14 -15t = 9 + 14 Combine like terms: 9 + 14 = 23 -15t = 23 Divide each side by '-15'. t = -1.533333333 Simplifying t = -1.533333333
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