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Simplifying 0.67a + 2 = 0.33(4a + 1) Reorder the terms: 2 + 0.67a = 0.33(4a + 1) Reorder the terms: 2 + 0.67a = 0.33(1 + 4a) 2 + 0.67a = (1 * 0.33 + 4a * 0.33) 2 + 0.67a = (0.33 + 1.32a) Solving 2 + 0.67a = 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. 2 + 0.67a + -1.32a = 0.33 + 1.32a + -1.32a Combine like terms: 0.67a + -1.32a = -0.65a 2 + -0.65a = 0.33 + 1.32a + -1.32a Combine like terms: 1.32a + -1.32a = 0.00 2 + -0.65a = 0.33 + 0.00 2 + -0.65a = 0.33 Add '-2' to each side of the equation. 2 + -2 + -0.65a = 0.33 + -2 Combine like terms: 2 + -2 = 0 0 + -0.65a = 0.33 + -2 -0.65a = 0.33 + -2 Combine like terms: 0.33 + -2 = -1.67 -0.65a = -1.67 Divide each side by '-0.65'. a = 2.569230769 Simplifying a = 2.569230769
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