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Simplifying 6(a + -8) + 12 = 4(a + -6) Reorder the terms: 6(-8 + a) + 12 = 4(a + -6) (-8 * 6 + a * 6) + 12 = 4(a + -6) (-48 + 6a) + 12 = 4(a + -6) Reorder the terms: -48 + 12 + 6a = 4(a + -6) Combine like terms: -48 + 12 = -36 -36 + 6a = 4(a + -6) Reorder the terms: -36 + 6a = 4(-6 + a) -36 + 6a = (-6 * 4 + a * 4) -36 + 6a = (-24 + 4a) Solving -36 + 6a = -24 + 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. -36 + 6a + -4a = -24 + 4a + -4a Combine like terms: 6a + -4a = 2a -36 + 2a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -36 + 2a = -24 + 0 -36 + 2a = -24 Add '36' to each side of the equation. -36 + 36 + 2a = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 2a = -24 + 36 2a = -24 + 36 Combine like terms: -24 + 36 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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