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Simplifying t + 5 + t + -5 + -13t + -65 + 42 = 0 Reorder the terms: 5 + -5 + -65 + 42 + t + t + -13t = 0 Combine like terms: 5 + -5 = 0 0 + -65 + 42 + t + t + -13t = 0 -65 + 42 + t + t + -13t = 0 Combine like terms: -65 + 42 = -23 -23 + t + t + -13t = 0 Combine like terms: t + t = 2t -23 + 2t + -13t = 0 Combine like terms: 2t + -13t = -11t -23 + -11t = 0 Solving -23 + -11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -11t = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -11t = 0 + 23 -11t = 0 + 23 Combine like terms: 0 + 23 = 23 -11t = 23 Divide each side by '-11'. t = -2.090909091 Simplifying t = -2.090909091
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