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Simplifying 7 + 6t + -6 = 7t + 10 + -2t Reorder the terms: 7 + -6 + 6t = 7t + 10 + -2t Combine like terms: 7 + -6 = 1 1 + 6t = 7t + 10 + -2t Reorder the terms: 1 + 6t = 10 + 7t + -2t Combine like terms: 7t + -2t = 5t 1 + 6t = 10 + 5t Solving 1 + 6t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 6t + -5t = 10 + 5t + -5t Combine like terms: 6t + -5t = 1t 1 + 1t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + 1t = 10 + 0 1 + 1t = 10 Add '-1' to each side of the equation. 1 + -1 + 1t = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 10 + -1 1t = 10 + -1 Combine like terms: 10 + -1 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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