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Simplifying 7t + -8 = 2t + 32 Reorder the terms: -8 + 7t = 2t + 32 Reorder the terms: -8 + 7t = 32 + 2t Solving -8 + 7t = 32 + 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. -8 + 7t + -2t = 32 + 2t + -2t Combine like terms: 7t + -2t = 5t -8 + 5t = 32 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + 5t = 32 + 0 -8 + 5t = 32 Add '8' to each side of the equation. -8 + 8 + 5t = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 32 + 8 5t = 32 + 8 Combine like terms: 32 + 8 = 40 5t = 40 Divide each side by '5'. t = 8 Simplifying t = 8
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