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Simplifying 42 = 18 + 14(t + 5) Reorder the terms: 42 = 18 + 14(5 + t) 42 = 18 + (5 * 14 + t * 14) 42 = 18 + (70 + 14t) Combine like terms: 18 + 70 = 88 42 = 88 + 14t Solving 42 = 88 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 42 + -14t = 88 + 14t + -14t Combine like terms: 14t + -14t = 0 42 + -14t = 88 + 0 42 + -14t = 88 Add '-42' to each side of the equation. 42 + -42 + -14t = 88 + -42 Combine like terms: 42 + -42 = 0 0 + -14t = 88 + -42 -14t = 88 + -42 Combine like terms: 88 + -42 = 46 -14t = 46 Divide each side by '-14'. t = -3.285714286 Simplifying t = -3.285714286
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