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Simplifying 2t + -14 = -32 + 5t Reorder the terms: -14 + 2t = -32 + 5t Solving -14 + 2t = -32 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -14 + 2t + -5t = -32 + 5t + -5t Combine like terms: 2t + -5t = -3t -14 + -3t = -32 + 5t + -5t Combine like terms: 5t + -5t = 0 -14 + -3t = -32 + 0 -14 + -3t = -32 Add '14' to each side of the equation. -14 + 14 + -3t = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -3t = -32 + 14 -3t = -32 + 14 Combine like terms: -32 + 14 = -18 -3t = -18 Divide each side by '-3'. t = 6 Simplifying t = 6
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