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Simplifying 7(t + -5) + 7t = 7(2 + 5) + -13 Reorder the terms: 7(-5 + t) + 7t = 7(2 + 5) + -13 (-5 * 7 + t * 7) + 7t = 7(2 + 5) + -13 (-35 + 7t) + 7t = 7(2 + 5) + -13 Combine like terms: 7t + 7t = 14t -35 + 14t = 7(2 + 5) + -13 Combine like terms: 2 + 5 = 7 -35 + 14t = 7(7) + -13 Multiply 7 * 7 -35 + 14t = 49 + -13 Combine like terms: 49 + -13 = 36 -35 + 14t = 36 Solving -35 + 14t = 36 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 14t = 36 + 35 Combine like terms: -35 + 35 = 0 0 + 14t = 36 + 35 14t = 36 + 35 Combine like terms: 36 + 35 = 71 14t = 71 Divide each side by '14'. t = 5.071428571 Simplifying t = 5.071428571
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