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Simplifying 4(a + -4) = 0.33(-9 + 12a) Reorder the terms: 4(-4 + a) = 0.33(-9 + 12a) (-4 * 4 + a * 4) = 0.33(-9 + 12a) (-16 + 4a) = 0.33(-9 + 12a) -16 + 4a = (-9 * 0.33 + 12a * 0.33) -16 + 4a = (-2.97 + 3.96a) Solving -16 + 4a = -2.97 + 3.96a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.96a' to each side of the equation. -16 + 4a + -3.96a = -2.97 + 3.96a + -3.96a Combine like terms: 4a + -3.96a = 0.04a -16 + 0.04a = -2.97 + 3.96a + -3.96a Combine like terms: 3.96a + -3.96a = 0.00 -16 + 0.04a = -2.97 + 0.00 -16 + 0.04a = -2.97 Add '16' to each side of the equation. -16 + 16 + 0.04a = -2.97 + 16 Combine like terms: -16 + 16 = 0 0 + 0.04a = -2.97 + 16 0.04a = -2.97 + 16 Combine like terms: -2.97 + 16 = 13.03 0.04a = 13.03 Divide each side by '0.04'. a = 325.75 Simplifying a = 325.75
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