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Simplifying 4(a + -6) = 12(a + -2) Reorder the terms: 4(-6 + a) = 12(a + -2) (-6 * 4 + a * 4) = 12(a + -2) (-24 + 4a) = 12(a + -2) Reorder the terms: -24 + 4a = 12(-2 + a) -24 + 4a = (-2 * 12 + a * 12) -24 + 4a = (-24 + 12a) Add '24' to each side of the equation. -24 + 24 + 4a = -24 + 24 + 12a Combine like terms: -24 + 24 = 0 0 + 4a = -24 + 24 + 12a 4a = -24 + 24 + 12a Combine like terms: -24 + 24 = 0 4a = 0 + 12a 4a = 12a Solving 4a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 4a + -12a = 12a + -12a Combine like terms: 4a + -12a = -8a -8a = 12a + -12a Combine like terms: 12a + -12a = 0 -8a = 0 Divide each side by '-8'. a = 0 Simplifying a = 0
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