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Simplifying 11x + 27 + 19x + 8t + 7 = 0 Reorder the terms: 27 + 7 + 8t + 11x + 19x = 0 Combine like terms: 27 + 7 = 34 34 + 8t + 11x + 19x = 0 Combine like terms: 11x + 19x = 30x 34 + 8t + 30x = 0 Solving 34 + 8t + 30x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 8t + -34 + 30x = 0 + -34 Reorder the terms: 34 + -34 + 8t + 30x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 8t + 30x = 0 + -34 8t + 30x = 0 + -34 Combine like terms: 0 + -34 = -34 8t + 30x = -34 Add '-30x' to each side of the equation. 8t + 30x + -30x = -34 + -30x Combine like terms: 30x + -30x = 0 8t + 0 = -34 + -30x 8t = -34 + -30x Divide each side by '8'. t = -4.25 + -3.75x Simplifying t = -4.25 + -3.75x
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