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Simplifying -2t + -8 + 6t = 7t + -9 Reorder the terms: -8 + -2t + 6t = 7t + -9 Combine like terms: -2t + 6t = 4t -8 + 4t = 7t + -9 Reorder the terms: -8 + 4t = -9 + 7t Solving -8 + 4t = -9 + 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. -8 + 4t + -7t = -9 + 7t + -7t Combine like terms: 4t + -7t = -3t -8 + -3t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 -8 + -3t = -9 + 0 -8 + -3t = -9 Add '8' to each side of the equation. -8 + 8 + -3t = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -3t = -9 + 8 -3t = -9 + 8 Combine like terms: -9 + 8 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333
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