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Simplifying -3t + 7 = 2t + 32 Reorder the terms: 7 + -3t = 2t + 32 Reorder the terms: 7 + -3t = 32 + 2t Solving 7 + -3t = 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. 7 + -3t + -2t = 32 + 2t + -2t Combine like terms: -3t + -2t = -5t 7 + -5t = 32 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + -5t = 32 + 0 7 + -5t = 32 Add '-7' to each side of the equation. 7 + -7 + -5t = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = 32 + -7 -5t = 32 + -7 Combine like terms: 32 + -7 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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