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Simplifying 3(24 + -20t) + 36 = 8(5t + 1) (24 * 3 + -20t * 3) + 36 = 8(5t + 1) (72 + -60t) + 36 = 8(5t + 1) Reorder the terms: 72 + 36 + -60t = 8(5t + 1) Combine like terms: 72 + 36 = 108 108 + -60t = 8(5t + 1) Reorder the terms: 108 + -60t = 8(1 + 5t) 108 + -60t = (1 * 8 + 5t * 8) 108 + -60t = (8 + 40t) Solving 108 + -60t = 8 + 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. 108 + -60t + -40t = 8 + 40t + -40t Combine like terms: -60t + -40t = -100t 108 + -100t = 8 + 40t + -40t Combine like terms: 40t + -40t = 0 108 + -100t = 8 + 0 108 + -100t = 8 Add '-108' to each side of the equation. 108 + -108 + -100t = 8 + -108 Combine like terms: 108 + -108 = 0 0 + -100t = 8 + -108 -100t = 8 + -108 Combine like terms: 8 + -108 = -100 -100t = -100 Divide each side by '-100'. t = 1 Simplifying t = 1
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