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Simplifying a + 6(-7a + -4) = 5a + -8(3 + -8a) Reorder the terms: a + 6(-4 + -7a) = 5a + -8(3 + -8a) a + (-4 * 6 + -7a * 6) = 5a + -8(3 + -8a) a + (-24 + -42a) = 5a + -8(3 + -8a) Reorder the terms: -24 + a + -42a = 5a + -8(3 + -8a) Combine like terms: a + -42a = -41a -24 + -41a = 5a + -8(3 + -8a) -24 + -41a = 5a + (3 * -8 + -8a * -8) -24 + -41a = 5a + (-24 + 64a) Reorder the terms: -24 + -41a = -24 + 5a + 64a Combine like terms: 5a + 64a = 69a -24 + -41a = -24 + 69a Add '24' to each side of the equation. -24 + 24 + -41a = -24 + 24 + 69a Combine like terms: -24 + 24 = 0 0 + -41a = -24 + 24 + 69a -41a = -24 + 24 + 69a Combine like terms: -24 + 24 = 0 -41a = 0 + 69a -41a = 69a Solving -41a = 69a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-69a' to each side of the equation. -41a + -69a = 69a + -69a Combine like terms: -41a + -69a = -110a -110a = 69a + -69a Combine like terms: 69a + -69a = 0 -110a = 0 Divide each side by '-110'. a = 0.0 Simplifying a = 0.0
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