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Simplifying 4a + -8(9 + 9a) = -6(-7a + 12) 4a + (9 * -8 + 9a * -8) = -6(-7a + 12) 4a + (-72 + -72a) = -6(-7a + 12) Reorder the terms: -72 + 4a + -72a = -6(-7a + 12) Combine like terms: 4a + -72a = -68a -72 + -68a = -6(-7a + 12) Reorder the terms: -72 + -68a = -6(12 + -7a) -72 + -68a = (12 * -6 + -7a * -6) -72 + -68a = (-72 + 42a) Add '72' to each side of the equation. -72 + 72 + -68a = -72 + 72 + 42a Combine like terms: -72 + 72 = 0 0 + -68a = -72 + 72 + 42a -68a = -72 + 72 + 42a Combine like terms: -72 + 72 = 0 -68a = 0 + 42a -68a = 42a Solving -68a = 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -68a + -42a = 42a + -42a Combine like terms: -68a + -42a = -110a -110a = 42a + -42a Combine like terms: 42a + -42a = 0 -110a = 0 Divide each side by '-110'. a = 0.0 Simplifying a = 0.0
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