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Simplifying 8a + -12 = -6(a + -5) Reorder the terms: -12 + 8a = -6(a + -5) Reorder the terms: -12 + 8a = -6(-5 + a) -12 + 8a = (-5 * -6 + a * -6) -12 + 8a = (30 + -6a) Solving -12 + 8a = 30 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -12 + 8a + 6a = 30 + -6a + 6a Combine like terms: 8a + 6a = 14a -12 + 14a = 30 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 14a = 30 + 0 -12 + 14a = 30 Add '12' to each side of the equation. -12 + 12 + 14a = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 14a = 30 + 12 14a = 30 + 12 Combine like terms: 30 + 12 = 42 14a = 42 Divide each side by '14'. a = 3 Simplifying a = 3
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