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Simplifying 5(6t + 5) + -20t = 100t + -55 Reorder the terms: 5(5 + 6t) + -20t = 100t + -55 (5 * 5 + 6t * 5) + -20t = 100t + -55 (25 + 30t) + -20t = 100t + -55 Combine like terms: 30t + -20t = 10t 25 + 10t = 100t + -55 Reorder the terms: 25 + 10t = -55 + 100t Solving 25 + 10t = -55 + 100t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-100t' to each side of the equation. 25 + 10t + -100t = -55 + 100t + -100t Combine like terms: 10t + -100t = -90t 25 + -90t = -55 + 100t + -100t Combine like terms: 100t + -100t = 0 25 + -90t = -55 + 0 25 + -90t = -55 Add '-25' to each side of the equation. 25 + -25 + -90t = -55 + -25 Combine like terms: 25 + -25 = 0 0 + -90t = -55 + -25 -90t = -55 + -25 Combine like terms: -55 + -25 = -80 -90t = -80 Divide each side by '-90'. t = 0.8888888889 Simplifying t = 0.8888888889
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