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Simplifying -4t + 8 + 8t = 6t + -9 Reorder the terms: 8 + -4t + 8t = 6t + -9 Combine like terms: -4t + 8t = 4t 8 + 4t = 6t + -9 Reorder the terms: 8 + 4t = -9 + 6t Solving 8 + 4t = -9 + 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. 8 + 4t + -6t = -9 + 6t + -6t Combine like terms: 4t + -6t = -2t 8 + -2t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -2t = -9 + 0 8 + -2t = -9 Add '-8' to each side of the equation. 8 + -8 + -2t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -9 + -8 -2t = -9 + -8 Combine like terms: -9 + -8 = -17 -2t = -17 Divide each side by '-2'. t = 8.5 Simplifying t = 8.5
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