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Simplifying 5(r + a) + -2(1 + -1r) = 1 Reorder the terms: 5(a + r) + -2(1 + -1r) = 1 (a * 5 + r * 5) + -2(1 + -1r) = 1 (5a + 5r) + -2(1 + -1r) = 1 5a + 5r + (1 * -2 + -1r * -2) = 1 5a + 5r + (-2 + 2r) = 1 Reorder the terms: -2 + 5a + 5r + 2r = 1 Combine like terms: 5r + 2r = 7r -2 + 5a + 7r = 1 Solving -2 + 5a + 7r = 1 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 + 5a + 2 + 7r = 1 + 2 Reorder the terms: -2 + 2 + 5a + 7r = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 5a + 7r = 1 + 2 5a + 7r = 1 + 2 Combine like terms: 1 + 2 = 3 5a + 7r = 3 Add '-7r' to each side of the equation. 5a + 7r + -7r = 3 + -7r Combine like terms: 7r + -7r = 0 5a + 0 = 3 + -7r 5a = 3 + -7r Divide each side by '5'. a = 0.6 + -1.4r Simplifying a = 0.6 + -1.4r
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