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Simplifying 2t + -32 = 5t + 1 Reorder the terms: -32 + 2t = 5t + 1 Reorder the terms: -32 + 2t = 1 + 5t Solving -32 + 2t = 1 + 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. -32 + 2t + -5t = 1 + 5t + -5t Combine like terms: 2t + -5t = -3t -32 + -3t = 1 + 5t + -5t Combine like terms: 5t + -5t = 0 -32 + -3t = 1 + 0 -32 + -3t = 1 Add '32' to each side of the equation. -32 + 32 + -3t = 1 + 32 Combine like terms: -32 + 32 = 0 0 + -3t = 1 + 32 -3t = 1 + 32 Combine like terms: 1 + 32 = 33 -3t = 33 Divide each side by '-3'. t = -11 Simplifying t = -11
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