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Simplifying 24t + -3t + -12 = 6t + -42 + 8 Reorder the terms: -12 + 24t + -3t = 6t + -42 + 8 Combine like terms: 24t + -3t = 21t -12 + 21t = 6t + -42 + 8 Reorder the terms: -12 + 21t = -42 + 8 + 6t Combine like terms: -42 + 8 = -34 -12 + 21t = -34 + 6t Solving -12 + 21t = -34 + 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 = -34 + 6t + -6t Combine like terms: 21t + -6t = 15t -12 + 15t = -34 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + 15t = -34 + 0 -12 + 15t = -34 Add '12' to each side of the equation. -12 + 12 + 15t = -34 + 12 Combine like terms: -12 + 12 = 0 0 + 15t = -34 + 12 15t = -34 + 12 Combine like terms: -34 + 12 = -22 15t = -22 Divide each side by '15'. t = -1.466666667 Simplifying t = -1.466666667
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