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Simplifying 6 + 10t + -2 = 6t + 52 + -2t Reorder the terms: 6 + -2 + 10t = 6t + 52 + -2t Combine like terms: 6 + -2 = 4 4 + 10t = 6t + 52 + -2t Reorder the terms: 4 + 10t = 52 + 6t + -2t Combine like terms: 6t + -2t = 4t 4 + 10t = 52 + 4t Solving 4 + 10t = 52 + 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. 4 + 10t + -4t = 52 + 4t + -4t Combine like terms: 10t + -4t = 6t 4 + 6t = 52 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + 6t = 52 + 0 4 + 6t = 52 Add '-4' to each side of the equation. 4 + -4 + 6t = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6t = 52 + -4 6t = 52 + -4 Combine like terms: 52 + -4 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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