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Simplifying 8 + 1 + -2t = 4t + -12 Combine like terms: 8 + 1 = 9 9 + -2t = 4t + -12 Reorder the terms: 9 + -2t = -12 + 4t Solving 9 + -2t = -12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9 + -2t + -4t = -12 + 4t + -4t Combine like terms: -2t + -4t = -6t 9 + -6t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + -6t = -12 + 0 9 + -6t = -12 Add '-9' to each side of the equation. 9 + -9 + -6t = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = -12 + -9 -6t = -12 + -9 Combine like terms: -12 + -9 = -21 -6t = -21 Divide each side by '-6'. t = 3.5 Simplifying t = 3.5
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