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Simplifying 4(0.2a + -0.5) + 0.5a = 11 Reorder the terms: 4(-0.5 + 0.2a) + 0.5a = 11 (-0.5 * 4 + 0.2a * 4) + 0.5a = 11 (-2 + 0.8a) + 0.5a = 11 Combine like terms: 0.8a + 0.5a = 1.3a -2 + 1.3a = 11 Solving -2 + 1.3a = 11 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 + 2 + 1.3a = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 1.3a = 11 + 2 1.3a = 11 + 2 Combine like terms: 11 + 2 = 13 1.3a = 13 Divide each side by '1.3'. a = 10 Simplifying a = 10
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