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Simplifying 9 + 19t + -3 = 5t + 74 + -3t Reorder the terms: 9 + -3 + 19t = 5t + 74 + -3t Combine like terms: 9 + -3 = 6 6 + 19t = 5t + 74 + -3t Reorder the terms: 6 + 19t = 74 + 5t + -3t Combine like terms: 5t + -3t = 2t 6 + 19t = 74 + 2t Solving 6 + 19t = 74 + 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. 6 + 19t + -2t = 74 + 2t + -2t Combine like terms: 19t + -2t = 17t 6 + 17t = 74 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + 17t = 74 + 0 6 + 17t = 74 Add '-6' to each side of the equation. 6 + -6 + 17t = 74 + -6 Combine like terms: 6 + -6 = 0 0 + 17t = 74 + -6 17t = 74 + -6 Combine like terms: 74 + -6 = 68 17t = 68 Divide each side by '17'. t = 4 Simplifying t = 4
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