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Simplifying 12(2a + -7) + -6 = 9a Reorder the terms: 12(-7 + 2a) + -6 = 9a (-7 * 12 + 2a * 12) + -6 = 9a (-84 + 24a) + -6 = 9a Reorder the terms: -84 + -6 + 24a = 9a Combine like terms: -84 + -6 = -90 -90 + 24a = 9a Solving -90 + 24a = 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -90 + 24a + -9a = 9a + -9a Combine like terms: 24a + -9a = 15a -90 + 15a = 9a + -9a Combine like terms: 9a + -9a = 0 -90 + 15a = 0 Add '90' to each side of the equation. -90 + 90 + 15a = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 15a = 0 + 90 15a = 0 + 90 Combine like terms: 0 + 90 = 90 15a = 90 Divide each side by '15'. a = 6 Simplifying a = 6
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