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Simplifying 0.66a + 3 = 0.33(4a + 1) Reorder the terms: 3 + 0.66a = 0.33(4a + 1) Reorder the terms: 3 + 0.66a = 0.33(1 + 4a) 3 + 0.66a = (1 * 0.33 + 4a * 0.33) 3 + 0.66a = (0.33 + 1.32a) Solving 3 + 0.66a = 0.33 + 1.32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.32a' to each side of the equation. 3 + 0.66a + -1.32a = 0.33 + 1.32a + -1.32a Combine like terms: 0.66a + -1.32a = -0.66a 3 + -0.66a = 0.33 + 1.32a + -1.32a Combine like terms: 1.32a + -1.32a = 0.00 3 + -0.66a = 0.33 + 0.00 3 + -0.66a = 0.33 Add '-3' to each side of the equation. 3 + -3 + -0.66a = 0.33 + -3 Combine like terms: 3 + -3 = 0 0 + -0.66a = 0.33 + -3 -0.66a = 0.33 + -3 Combine like terms: 0.33 + -3 = -2.67 -0.66a = -2.67 Divide each side by '-0.66'. a = 4.045454545 Simplifying a = 4.045454545
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