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Simplifying 4(t + 5) + 6 = 8t + (5 + -1t) Reorder the terms: 4(5 + t) + 6 = 8t + (5 + -1t) (5 * 4 + t * 4) + 6 = 8t + (5 + -1t) (20 + 4t) + 6 = 8t + (5 + -1t) Reorder the terms: 20 + 6 + 4t = 8t + (5 + -1t) Combine like terms: 20 + 6 = 26 26 + 4t = 8t + (5 + -1t) Remove parenthesis around (5 + -1t) 26 + 4t = 8t + 5 + -1t Reorder the terms: 26 + 4t = 5 + 8t + -1t Combine like terms: 8t + -1t = 7t 26 + 4t = 5 + 7t Solving 26 + 4t = 5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 26 + 4t + -7t = 5 + 7t + -7t Combine like terms: 4t + -7t = -3t 26 + -3t = 5 + 7t + -7t Combine like terms: 7t + -7t = 0 26 + -3t = 5 + 0 26 + -3t = 5 Add '-26' to each side of the equation. 26 + -26 + -3t = 5 + -26 Combine like terms: 26 + -26 = 0 0 + -3t = 5 + -26 -3t = 5 + -26 Combine like terms: 5 + -26 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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