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Simplifying 24t + -3t + -12 = 6t + -50 Reorder the terms: -12 + 24t + -3t = 6t + -50 Combine like terms: 24t + -3t = 21t -12 + 21t = 6t + -50 Reorder the terms: -12 + 21t = -50 + 6t Solving -12 + 21t = -50 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -12 + 21t + -6t = -50 + 6t + -6t Combine like terms: 21t + -6t = 15t -12 + 15t = -50 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + 15t = -50 + 0 -12 + 15t = -50 Add '12' to each side of the equation. -12 + 12 + 15t = -50 + 12 Combine like terms: -12 + 12 = 0 0 + 15t = -50 + 12 15t = -50 + 12 Combine like terms: -50 + 12 = -38 15t = -38 Divide each side by '15'. t = -2.533333333 Simplifying t = -2.533333333
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