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Simplifying 8 + 19t + -2 = 8t + 132 + -3t Reorder the terms: 8 + -2 + 19t = 8t + 132 + -3t Combine like terms: 8 + -2 = 6 6 + 19t = 8t + 132 + -3t Reorder the terms: 6 + 19t = 132 + 8t + -3t Combine like terms: 8t + -3t = 5t 6 + 19t = 132 + 5t Solving 6 + 19t = 132 + 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. 6 + 19t + -5t = 132 + 5t + -5t Combine like terms: 19t + -5t = 14t 6 + 14t = 132 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 14t = 132 + 0 6 + 14t = 132 Add '-6' to each side of the equation. 6 + -6 + 14t = 132 + -6 Combine like terms: 6 + -6 = 0 0 + 14t = 132 + -6 14t = 132 + -6 Combine like terms: 132 + -6 = 126 14t = 126 Divide each side by '14'. t = 9 Simplifying t = 9
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