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Simplifying 5t + -32 = 2t + -5 Reorder the terms: -32 + 5t = 2t + -5 Reorder the terms: -32 + 5t = -5 + 2t Solving -32 + 5t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -32 + 5t + -2t = -5 + 2t + -2t Combine like terms: 5t + -2t = 3t -32 + 3t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 -32 + 3t = -5 + 0 -32 + 3t = -5 Add '32' to each side of the equation. -32 + 32 + 3t = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 3t = -5 + 32 3t = -5 + 32 Combine like terms: -5 + 32 = 27 3t = 27 Divide each side by '3'. t = 9 Simplifying t = 9
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