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Simplifying 9 + 11t + -2 = 7t + 55 + -4t Reorder the terms: 9 + -2 + 11t = 7t + 55 + -4t Combine like terms: 9 + -2 = 7 7 + 11t = 7t + 55 + -4t Reorder the terms: 7 + 11t = 55 + 7t + -4t Combine like terms: 7t + -4t = 3t 7 + 11t = 55 + 3t Solving 7 + 11t = 55 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7 + 11t + -3t = 55 + 3t + -3t Combine like terms: 11t + -3t = 8t 7 + 8t = 55 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + 8t = 55 + 0 7 + 8t = 55 Add '-7' to each side of the equation. 7 + -7 + 8t = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 8t = 55 + -7 8t = 55 + -7 Combine like terms: 55 + -7 = 48 8t = 48 Divide each side by '8'. t = 6 Simplifying t = 6
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