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Simplifying 5(5 + -2a) = 4(6 + -1a) (5 * 5 + -2a * 5) = 4(6 + -1a) (25 + -10a) = 4(6 + -1a) 25 + -10a = (6 * 4 + -1a * 4) 25 + -10a = (24 + -4a) Solving 25 + -10a = 24 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 25 + -10a + 4a = 24 + -4a + 4a Combine like terms: -10a + 4a = -6a 25 + -6a = 24 + -4a + 4a Combine like terms: -4a + 4a = 0 25 + -6a = 24 + 0 25 + -6a = 24 Add '-25' to each side of the equation. 25 + -25 + -6a = 24 + -25 Combine like terms: 25 + -25 = 0 0 + -6a = 24 + -25 -6a = 24 + -25 Combine like terms: 24 + -25 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667
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