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Simplifying 7(2t + 3) + 2(3t + 2) = t + 5 Reorder the terms: 7(3 + 2t) + 2(3t + 2) = t + 5 (3 * 7 + 2t * 7) + 2(3t + 2) = t + 5 (21 + 14t) + 2(3t + 2) = t + 5 Reorder the terms: 21 + 14t + 2(2 + 3t) = t + 5 21 + 14t + (2 * 2 + 3t * 2) = t + 5 21 + 14t + (4 + 6t) = t + 5 Reorder the terms: 21 + 4 + 14t + 6t = t + 5 Combine like terms: 21 + 4 = 25 25 + 14t + 6t = t + 5 Combine like terms: 14t + 6t = 20t 25 + 20t = t + 5 Reorder the terms: 25 + 20t = 5 + t Solving 25 + 20t = 5 + 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. 25 + 20t + -1t = 5 + t + -1t Combine like terms: 20t + -1t = 19t 25 + 19t = 5 + t + -1t Combine like terms: t + -1t = 0 25 + 19t = 5 + 0 25 + 19t = 5 Add '-25' to each side of the equation. 25 + -25 + 19t = 5 + -25 Combine like terms: 25 + -25 = 0 0 + 19t = 5 + -25 19t = 5 + -25 Combine like terms: 5 + -25 = -20 19t = -20 Divide each side by '19'. t = -1.052631579 Simplifying t = -1.052631579
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