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Simplifying 5r + 8r + -2 + 2a = 0 Reorder the terms: -2 + 2a + 5r + 8r = 0 Combine like terms: 5r + 8r = 13r -2 + 2a + 13r = 0 Solving -2 + 2a + 13r = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2a + 2 + 13r = 0 + 2 Reorder the terms: -2 + 2 + 2a + 13r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2a + 13r = 0 + 2 2a + 13r = 0 + 2 Combine like terms: 0 + 2 = 2 2a + 13r = 2 Add '-13r' to each side of the equation. 2a + 13r + -13r = 2 + -13r Combine like terms: 13r + -13r = 0 2a + 0 = 2 + -13r 2a = 2 + -13r Divide each side by '2'. a = 1 + -6.5r Simplifying a = 1 + -6.5r
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