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Simplifying 15 + -0.75a = 13 + -0.50a Solving 15 + -0.75a = 13 + -0.50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.50a' to each side of the equation. 15 + -0.75a + 0.50a = 13 + -0.50a + 0.50a Combine like terms: -0.75a + 0.50a = -0.25a 15 + -0.25a = 13 + -0.50a + 0.50a Combine like terms: -0.50a + 0.50a = 0.00 15 + -0.25a = 13 + 0.00 15 + -0.25a = 13 Add '-15' to each side of the equation. 15 + -15 + -0.25a = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -0.25a = 13 + -15 -0.25a = 13 + -15 Combine like terms: 13 + -15 = -2 -0.25a = -2 Divide each side by '-0.25'. a = 8 Simplifying a = 8
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