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Simplifying -6a + -12 = 8(a + -9) Reorder the terms: -12 + -6a = 8(a + -9) Reorder the terms: -12 + -6a = 8(-9 + a) -12 + -6a = (-9 * 8 + a * 8) -12 + -6a = (-72 + 8a) Solving -12 + -6a = -72 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + -6a + -8a = -72 + 8a + -8a Combine like terms: -6a + -8a = -14a -12 + -14a = -72 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + -14a = -72 + 0 -12 + -14a = -72 Add '12' to each side of the equation. -12 + 12 + -14a = -72 + 12 Combine like terms: -12 + 12 = 0 0 + -14a = -72 + 12 -14a = -72 + 12 Combine like terms: -72 + 12 = -60 -14a = -60 Divide each side by '-14'. a = 4.285714286 Simplifying a = 4.285714286
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