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Simplifying 14t + 19 = 4t + -32 Reorder the terms: 19 + 14t = 4t + -32 Reorder the terms: 19 + 14t = -32 + 4t Solving 19 + 14t = -32 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 19 + 14t + -4t = -32 + 4t + -4t Combine like terms: 14t + -4t = 10t 19 + 10t = -32 + 4t + -4t Combine like terms: 4t + -4t = 0 19 + 10t = -32 + 0 19 + 10t = -32 Add '-19' to each side of the equation. 19 + -19 + 10t = -32 + -19 Combine like terms: 19 + -19 = 0 0 + 10t = -32 + -19 10t = -32 + -19 Combine like terms: -32 + -19 = -51 10t = -51 Divide each side by '10'. t = -5.1 Simplifying t = -5.1
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