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Simplifying 2t + -12 = -24 + 8t Reorder the terms: -12 + 2t = -24 + 8t Solving -12 + 2t = -24 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -12 + 2t + -8t = -24 + 8t + -8t Combine like terms: 2t + -8t = -6t -12 + -6t = -24 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 + -6t = -24 + 0 -12 + -6t = -24 Add '12' to each side of the equation. -12 + 12 + -6t = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -6t = -24 + 12 -6t = -24 + 12 Combine like terms: -24 + 12 = -12 -6t = -12 Divide each side by '-6'. t = 2 Simplifying t = 2
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