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Simplifying 14.2 = 9(-5.8 + t) 14.2 = (-5.8 * 9 + t * 9) 14.2 = (-52.2 + 9t) Solving 14.2 = -52.2 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 14.2 + -9t = -52.2 + 9t + -9t Combine like terms: 9t + -9t = 0 14.2 + -9t = -52.2 + 0 14.2 + -9t = -52.2 Add '-14.2' to each side of the equation. 14.2 + -14.2 + -9t = -52.2 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -9t = -52.2 + -14.2 -9t = -52.2 + -14.2 Combine like terms: -52.2 + -14.2 = -66.4 -9t = -66.4 Divide each side by '-9'. t = 7.377777778 Simplifying t = 7.377777778
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