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Simplifying 6t + 15t + -4 = 24t + -60 Reorder the terms: -4 + 6t + 15t = 24t + -60 Combine like terms: 6t + 15t = 21t -4 + 21t = 24t + -60 Reorder the terms: -4 + 21t = -60 + 24t Solving -4 + 21t = -60 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -4 + 21t + -24t = -60 + 24t + -24t Combine like terms: 21t + -24t = -3t -4 + -3t = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -4 + -3t = -60 + 0 -4 + -3t = -60 Add '4' to each side of the equation. -4 + 4 + -3t = -60 + 4 Combine like terms: -4 + 4 = 0 0 + -3t = -60 + 4 -3t = -60 + 4 Combine like terms: -60 + 4 = -56 -3t = -56 Divide each side by '-3'. t = 18.66666667 Simplifying t = 18.66666667
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