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Simplifying 6t + -10 = 2t + 38 Reorder the terms: -10 + 6t = 2t + 38 Reorder the terms: -10 + 6t = 38 + 2t Solving -10 + 6t = 38 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -10 + 6t + -2t = 38 + 2t + -2t Combine like terms: 6t + -2t = 4t -10 + 4t = 38 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + 4t = 38 + 0 -10 + 4t = 38 Add '10' to each side of the equation. -10 + 10 + 4t = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 4t = 38 + 10 4t = 38 + 10 Combine like terms: 38 + 10 = 48 4t = 48 Divide each side by '4'. t = 12 Simplifying t = 12
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