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Simplifying 12(a + -6) = 4(a + -2) Reorder the terms: 12(-6 + a) = 4(a + -2) (-6 * 12 + a * 12) = 4(a + -2) (-72 + 12a) = 4(a + -2) Reorder the terms: -72 + 12a = 4(-2 + a) -72 + 12a = (-2 * 4 + a * 4) -72 + 12a = (-8 + 4a) Solving -72 + 12a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -72 + 12a + -4a = -8 + 4a + -4a Combine like terms: 12a + -4a = 8a -72 + 8a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -72 + 8a = -8 + 0 -72 + 8a = -8 Add '72' to each side of the equation. -72 + 72 + 8a = -8 + 72 Combine like terms: -72 + 72 = 0 0 + 8a = -8 + 72 8a = -8 + 72 Combine like terms: -8 + 72 = 64 8a = 64 Divide each side by '8'. a = 8 Simplifying a = 8
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