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Simplifying 32t + -12 = 3t + 42 Reorder the terms: -12 + 32t = 3t + 42 Reorder the terms: -12 + 32t = 42 + 3t Solving -12 + 32t = 42 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -12 + 32t + -3t = 42 + 3t + -3t Combine like terms: 32t + -3t = 29t -12 + 29t = 42 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 29t = 42 + 0 -12 + 29t = 42 Add '12' to each side of the equation. -12 + 12 + 29t = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 29t = 42 + 12 29t = 42 + 12 Combine like terms: 42 + 12 = 54 29t = 54 Divide each side by '29'. t = 1.862068966 Simplifying t = 1.862068966
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