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Simplifying 2(5t + -7) = 19t + 8 Reorder the terms: 2(-7 + 5t) = 19t + 8 (-7 * 2 + 5t * 2) = 19t + 8 (-14 + 10t) = 19t + 8 Reorder the terms: -14 + 10t = 8 + 19t Solving -14 + 10t = 8 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -14 + 10t + -19t = 8 + 19t + -19t Combine like terms: 10t + -19t = -9t -14 + -9t = 8 + 19t + -19t Combine like terms: 19t + -19t = 0 -14 + -9t = 8 + 0 -14 + -9t = 8 Add '14' to each side of the equation. -14 + 14 + -9t = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -9t = 8 + 14 -9t = 8 + 14 Combine like terms: 8 + 14 = 22 -9t = 22 Divide each side by '-9'. t = -2.444444444 Simplifying t = -2.444444444
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