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Simplifying 0.5(12 + -4a) = 0.3333(3 + -9a) (12 * 0.5 + -4a * 0.5) = 0.3333(3 + -9a) (6 + -2a) = 0.3333(3 + -9a) 6 + -2a = (3 * 0.3333 + -9a * 0.3333) 6 + -2a = (0.9999 + -2.9997a) Solving 6 + -2a = 0.9999 + -2.9997a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.9997a' to each side of the equation. 6 + -2a + 2.9997a = 0.9999 + -2.9997a + 2.9997a Combine like terms: -2a + 2.9997a = 0.9997a 6 + 0.9997a = 0.9999 + -2.9997a + 2.9997a Combine like terms: -2.9997a + 2.9997a = 0.0000 6 + 0.9997a = 0.9999 + 0.0000 6 + 0.9997a = 0.9999 Add '-6' to each side of the equation. 6 + -6 + 0.9997a = 0.9999 + -6 Combine like terms: 6 + -6 = 0 0 + 0.9997a = 0.9999 + -6 0.9997a = 0.9999 + -6 Combine like terms: 0.9999 + -6 = -5.0001 0.9997a = -5.0001 Divide each side by '0.9997'. a = -5.00160048 Simplifying a = -5.00160048
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