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Simplifying 3t + 7 = t + 19 Reorder the terms: 7 + 3t = t + 19 Reorder the terms: 7 + 3t = 19 + t Solving 7 + 3t = 19 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 7 + 3t + -1t = 19 + t + -1t Combine like terms: 3t + -1t = 2t 7 + 2t = 19 + t + -1t Combine like terms: t + -1t = 0 7 + 2t = 19 + 0 7 + 2t = 19 Add '-7' to each side of the equation. 7 + -7 + 2t = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 19 + -7 2t = 19 + -7 Combine like terms: 19 + -7 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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