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Simplifying 0.5(25 + -5a) = 4 + -1a (25 * 0.5 + -5a * 0.5) = 4 + -1a (12.5 + -2.5a) = 4 + -1a Solving 12.5 + -2.5a = 4 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12.5 + -2.5a + a = 4 + -1a + a Combine like terms: -2.5a + a = -1.5a 12.5 + -1.5a = 4 + -1a + a Combine like terms: -1a + a = 0 12.5 + -1.5a = 4 + 0 12.5 + -1.5a = 4 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -1.5a = 4 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -1.5a = 4 + -12.5 -1.5a = 4 + -12.5 Combine like terms: 4 + -12.5 = -8.5 -1.5a = -8.5 Divide each side by '-1.5'. a = 5.666666667 Simplifying a = 5.666666667
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