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Simplifying 8 + -6(a + -2) = 4(3 + a) Reorder the terms: 8 + -6(-2 + a) = 4(3 + a) 8 + (-2 * -6 + a * -6) = 4(3 + a) 8 + (12 + -6a) = 4(3 + a) Combine like terms: 8 + 12 = 20 20 + -6a = 4(3 + a) 20 + -6a = (3 * 4 + a * 4) 20 + -6a = (12 + 4a) Solving 20 + -6a = 12 + 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. 20 + -6a + -4a = 12 + 4a + -4a Combine like terms: -6a + -4a = -10a 20 + -10a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + -10a = 12 + 0 20 + -10a = 12 Add '-20' to each side of the equation. 20 + -20 + -10a = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -10a = 12 + -20 -10a = 12 + -20 Combine like terms: 12 + -20 = -8 -10a = -8 Divide each side by '-10'. a = 0.8 Simplifying a = 0.8
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