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Simplifying 13x + 8 + 8t = -9x + -22 Reorder the terms: 8 + 8t + 13x = -9x + -22 Reorder the terms: 8 + 8t + 13x = -22 + -9x Solving 8 + 8t + 13x = -22 + -9x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8t + -8 + 13x = -22 + -8 + -9x Reorder the terms: 8 + -8 + 8t + 13x = -22 + -8 + -9x Combine like terms: 8 + -8 = 0 0 + 8t + 13x = -22 + -8 + -9x 8t + 13x = -22 + -8 + -9x Combine like terms: -22 + -8 = -30 8t + 13x = -30 + -9x Add '-13x' to each side of the equation. 8t + 13x + -13x = -30 + -9x + -13x Combine like terms: 13x + -13x = 0 8t + 0 = -30 + -9x + -13x 8t = -30 + -9x + -13x Combine like terms: -9x + -13x = -22x 8t = -30 + -22x Divide each side by '8'. t = -3.75 + -2.75x Simplifying t = -3.75 + -2.75x
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