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Simplifying 6t + -24 = 4t + 14 Reorder the terms: -24 + 6t = 4t + 14 Reorder the terms: -24 + 6t = 14 + 4t Solving -24 + 6t = 14 + 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. -24 + 6t + -4t = 14 + 4t + -4t Combine like terms: 6t + -4t = 2t -24 + 2t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 -24 + 2t = 14 + 0 -24 + 2t = 14 Add '24' to each side of the equation. -24 + 24 + 2t = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 2t = 14 + 24 2t = 14 + 24 Combine like terms: 14 + 24 = 38 2t = 38 Divide each side by '2'. t = 19 Simplifying t = 19
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