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Simplifying 67 = 3(t + 4) + -1t Reorder the terms: 67 = 3(4 + t) + -1t 67 = (4 * 3 + t * 3) + -1t 67 = (12 + 3t) + -1t Combine like terms: 3t + -1t = 2t 67 = 12 + 2t Solving 67 = 12 + 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. 67 + -2t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 67 + -2t = 12 + 0 67 + -2t = 12 Add '-67' to each side of the equation. 67 + -67 + -2t = 12 + -67 Combine like terms: 67 + -67 = 0 0 + -2t = 12 + -67 -2t = 12 + -67 Combine like terms: 12 + -67 = -55 -2t = -55 Divide each side by '-2'. t = 27.5 Simplifying t = 27.5
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