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Simplifying 0.67a + 2 = 0.34(4a + 1) Reorder the terms: 2 + 0.67a = 0.34(4a + 1) Reorder the terms: 2 + 0.67a = 0.34(1 + 4a) 2 + 0.67a = (1 * 0.34 + 4a * 0.34) 2 + 0.67a = (0.34 + 1.36a) Solving 2 + 0.67a = 0.34 + 1.36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.36a' to each side of the equation. 2 + 0.67a + -1.36a = 0.34 + 1.36a + -1.36a Combine like terms: 0.67a + -1.36a = -0.69a 2 + -0.69a = 0.34 + 1.36a + -1.36a Combine like terms: 1.36a + -1.36a = 0.00 2 + -0.69a = 0.34 + 0.00 2 + -0.69a = 0.34 Add '-2' to each side of the equation. 2 + -2 + -0.69a = 0.34 + -2 Combine like terms: 2 + -2 = 0 0 + -0.69a = 0.34 + -2 -0.69a = 0.34 + -2 Combine like terms: 0.34 + -2 = -1.66 -0.69a = -1.66 Divide each side by '-0.69'. a = 2.405797101 Simplifying a = 2.405797101
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