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Simplifying 5(-4 + -1a) + -2a = 4(a + -6) (-4 * 5 + -1a * 5) + -2a = 4(a + -6) (-20 + -5a) + -2a = 4(a + -6) Combine like terms: -5a + -2a = -7a -20 + -7a = 4(a + -6) Reorder the terms: -20 + -7a = 4(-6 + a) -20 + -7a = (-6 * 4 + a * 4) -20 + -7a = (-24 + 4a) Solving -20 + -7a = -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. -20 + -7a + -4a = -24 + 4a + -4a Combine like terms: -7a + -4a = -11a -20 + -11a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -20 + -11a = -24 + 0 -20 + -11a = -24 Add '20' to each side of the equation. -20 + 20 + -11a = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -11a = -24 + 20 -11a = -24 + 20 Combine like terms: -24 + 20 = -4 -11a = -4 Divide each side by '-11'. a = 0.3636363636 Simplifying a = 0.3636363636
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