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Simplifying 10t + 12 = 6t + 24 Reorder the terms: 12 + 10t = 6t + 24 Reorder the terms: 12 + 10t = 24 + 6t Solving 12 + 10t = 24 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 12 + 10t + -6t = 24 + 6t + -6t Combine like terms: 10t + -6t = 4t 12 + 4t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + 4t = 24 + 0 12 + 4t = 24 Add '-12' to each side of the equation. 12 + -12 + 4t = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4t = 24 + -12 4t = 24 + -12 Combine like terms: 24 + -12 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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