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Simplifying 6 + 11t + -4 = 6t + 47 + -4t Reorder the terms: 6 + -4 + 11t = 6t + 47 + -4t Combine like terms: 6 + -4 = 2 2 + 11t = 6t + 47 + -4t Reorder the terms: 2 + 11t = 47 + 6t + -4t Combine like terms: 6t + -4t = 2t 2 + 11t = 47 + 2t Solving 2 + 11t = 47 + 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. 2 + 11t + -2t = 47 + 2t + -2t Combine like terms: 11t + -2t = 9t 2 + 9t = 47 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 9t = 47 + 0 2 + 9t = 47 Add '-2' to each side of the equation. 2 + -2 + 9t = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 9t = 47 + -2 9t = 47 + -2 Combine like terms: 47 + -2 = 45 9t = 45 Divide each side by '9'. t = 5 Simplifying t = 5
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