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Simplifying 7t + -12 = 4t + 24 Reorder the terms: -12 + 7t = 4t + 24 Reorder the terms: -12 + 7t = 24 + 4t Solving -12 + 7t = 24 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -12 + 7t + -4t = 24 + 4t + -4t Combine like terms: 7t + -4t = 3t -12 + 3t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 3t = 24 + 0 -12 + 3t = 24 Add '12' to each side of the equation. -12 + 12 + 3t = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3t = 24 + 12 3t = 24 + 12 Combine like terms: 24 + 12 = 36 3t = 36 Divide each side by '3'. t = 12 Simplifying t = 12
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