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Simplifying 13x + 8 + 8r = 9x + -22 Reorder the terms: 8 + 8r + 13x = 9x + -22 Reorder the terms: 8 + 8r + 13x = -22 + 9x Solving 8 + 8r + 13x = -22 + 9x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8r + -8 + 13x = -22 + -8 + 9x Reorder the terms: 8 + -8 + 8r + 13x = -22 + -8 + 9x Combine like terms: 8 + -8 = 0 0 + 8r + 13x = -22 + -8 + 9x 8r + 13x = -22 + -8 + 9x Combine like terms: -22 + -8 = -30 8r + 13x = -30 + 9x Add '-13x' to each side of the equation. 8r + 13x + -13x = -30 + 9x + -13x Combine like terms: 13x + -13x = 0 8r + 0 = -30 + 9x + -13x 8r = -30 + 9x + -13x Combine like terms: 9x + -13x = -4x 8r = -30 + -4x Divide each side by '8'. r = -3.75 + -0.5x Simplifying r = -3.75 + -0.5x
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