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Simplifying 10(0.5a) = (1.2 + -5.5a) * 10 Remove parenthesis around (0.5a) 10 * 0.5a = (1.2 + -5.5a) * 10 Multiply 10 * 0.5 5a = (1.2 + -5.5a) * 10 Reorder the terms for easier multiplication: 5a = 10(1.2 + -5.5a) 5a = (1.2 * 10 + -5.5a * 10) 5a = (12 + -55a) Solving 5a = 12 + -55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '55a' to each side of the equation. 5a + 55a = 12 + -55a + 55a Combine like terms: 5a + 55a = 60a 60a = 12 + -55a + 55a Combine like terms: -55a + 55a = 0 60a = 12 + 0 60a = 12 Divide each side by '60'. a = 0.2 Simplifying a = 0.2
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