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Simplifying 5a + -4(a + -6) = 4 + 2a Reorder the terms: 5a + -4(-6 + a) = 4 + 2a 5a + (-6 * -4 + a * -4) = 4 + 2a 5a + (24 + -4a) = 4 + 2a Reorder the terms: 24 + 5a + -4a = 4 + 2a Combine like terms: 5a + -4a = 1a 24 + 1a = 4 + 2a Solving 24 + 1a = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 24 + 1a + -2a = 4 + 2a + -2a Combine like terms: 1a + -2a = -1a 24 + -1a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + -1a = 4 + 0 24 + -1a = 4 Add '-24' to each side of the equation. 24 + -24 + -1a = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -1a = 4 + -24 -1a = 4 + -24 Combine like terms: 4 + -24 = -20 -1a = -20 Divide each side by '-1'. a = 20 Simplifying a = 20
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