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Simplifying 8 + 19t + -7 = 7t + 91 + -3t Reorder the terms: 8 + -7 + 19t = 7t + 91 + -3t Combine like terms: 8 + -7 = 1 1 + 19t = 7t + 91 + -3t Reorder the terms: 1 + 19t = 91 + 7t + -3t Combine like terms: 7t + -3t = 4t 1 + 19t = 91 + 4t Solving 1 + 19t = 91 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 19t + -4t = 91 + 4t + -4t Combine like terms: 19t + -4t = 15t 1 + 15t = 91 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 15t = 91 + 0 1 + 15t = 91 Add '-1' to each side of the equation. 1 + -1 + 15t = 91 + -1 Combine like terms: 1 + -1 = 0 0 + 15t = 91 + -1 15t = 91 + -1 Combine like terms: 91 + -1 = 90 15t = 90 Divide each side by '15'. t = 6 Simplifying t = 6
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