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Simplifying 14t + 42 = 9t + -18 Reorder the terms: 42 + 14t = 9t + -18 Reorder the terms: 42 + 14t = -18 + 9t Solving 42 + 14t = -18 + 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. 42 + 14t + -9t = -18 + 9t + -9t Combine like terms: 14t + -9t = 5t 42 + 5t = -18 + 9t + -9t Combine like terms: 9t + -9t = 0 42 + 5t = -18 + 0 42 + 5t = -18 Add '-42' to each side of the equation. 42 + -42 + 5t = -18 + -42 Combine like terms: 42 + -42 = 0 0 + 5t = -18 + -42 5t = -18 + -42 Combine like terms: -18 + -42 = -60 5t = -60 Divide each side by '5'. t = -12 Simplifying t = -12
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