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Simplifying 6(a + -6) + 12 = 2(a + -6) Reorder the terms: 6(-6 + a) + 12 = 2(a + -6) (-6 * 6 + a * 6) + 12 = 2(a + -6) (-36 + 6a) + 12 = 2(a + -6) Reorder the terms: -36 + 12 + 6a = 2(a + -6) Combine like terms: -36 + 12 = -24 -24 + 6a = 2(a + -6) Reorder the terms: -24 + 6a = 2(-6 + a) -24 + 6a = (-6 * 2 + a * 2) -24 + 6a = (-12 + 2a) Solving -24 + 6a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 6a + -2a = -12 + 2a + -2a Combine like terms: 6a + -2a = 4a -24 + 4a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 4a = -12 + 0 -24 + 4a = -12 Add '24' to each side of the equation. -24 + 24 + 4a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4a = -12 + 24 4a = -12 + 24 Combine like terms: -12 + 24 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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