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Simplifying 2t + -6 = -24 + -7t Reorder the terms: -6 + 2t = -24 + -7t Solving -6 + 2t = -24 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -6 + 2t + 7t = -24 + -7t + 7t Combine like terms: 2t + 7t = 9t -6 + 9t = -24 + -7t + 7t Combine like terms: -7t + 7t = 0 -6 + 9t = -24 + 0 -6 + 9t = -24 Add '6' to each side of the equation. -6 + 6 + 9t = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9t = -24 + 6 9t = -24 + 6 Combine like terms: -24 + 6 = -18 9t = -18 Divide each side by '9'. t = -2 Simplifying t = -2
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