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Simplifying 0.5a + (a + -1) + -1(0.2a + 10) = 0.2a + -1(0.2a + -28) Reorder the terms: 0.5a + (-1 + a) + -1(0.2a + 10) = 0.2a + -1(0.2a + -28) Remove parenthesis around (-1 + a) 0.5a + -1 + a + -1(0.2a + 10) = 0.2a + -1(0.2a + -28) Reorder the terms: 0.5a + -1 + a + -1(10 + 0.2a) = 0.2a + -1(0.2a + -28) 0.5a + -1 + a + (10 * -1 + 0.2a * -1) = 0.2a + -1(0.2a + -28) 0.5a + -1 + a + (-10 + -0.2a) = 0.2a + -1(0.2a + -28) Reorder the terms: -1 + -10 + 0.5a + a + -0.2a = 0.2a + -1(0.2a + -28) Combine like terms: -1 + -10 = -11 -11 + 0.5a + a + -0.2a = 0.2a + -1(0.2a + -28) Combine like terms: 0.5a + a = 1.5a -11 + 1.5a + -0.2a = 0.2a + -1(0.2a + -28) Combine like terms: 1.5a + -0.2a = 1.3a -11 + 1.3a = 0.2a + -1(0.2a + -28) Reorder the terms: -11 + 1.3a = 0.2a + -1(-28 + 0.2a) -11 + 1.3a = 0.2a + (-28 * -1 + 0.2a * -1) -11 + 1.3a = 0.2a + (28 + -0.2a) Reorder the terms: -11 + 1.3a = 28 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -11 + 1.3a = 28 + 0.0 -11 + 1.3a = 28 Solving -11 + 1.3a = 28 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1.3a = 28 + 11 Combine like terms: -11 + 11 = 0 0 + 1.3a = 28 + 11 1.3a = 28 + 11 Combine like terms: 28 + 11 = 39 1.3a = 39 Divide each side by '1.3'. a = 30 Simplifying a = 30
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