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Simplifying 2t + -3(2 + 5 + -4) = 7 + -6t + -8 Combine like terms: 2 + 5 = 7 2t + -3(7 + -4) = 7 + -6t + -8 Combine like terms: 7 + -4 = 3 2t + -3(3) = 7 + -6t + -8 Multiply -3 * 3 2t + -9 = 7 + -6t + -8 Reorder the terms: -9 + 2t = 7 + -6t + -8 Reorder the terms: -9 + 2t = 7 + -8 + -6t Combine like terms: 7 + -8 = -1 -9 + 2t = -1 + -6t Solving -9 + 2t = -1 + -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. -9 + 2t + 6t = -1 + -6t + 6t Combine like terms: 2t + 6t = 8t -9 + 8t = -1 + -6t + 6t Combine like terms: -6t + 6t = 0 -9 + 8t = -1 + 0 -9 + 8t = -1 Add '9' to each side of the equation. -9 + 9 + 8t = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 8t = -1 + 9 8t = -1 + 9 Combine like terms: -1 + 9 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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