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Simplifying 0.7a + 2 = 0.25(4a + 1) Reorder the terms: 2 + 0.7a = 0.25(4a + 1) Reorder the terms: 2 + 0.7a = 0.25(1 + 4a) 2 + 0.7a = (1 * 0.25 + 4a * 0.25) 2 + 0.7a = (0.25 + 1a) Solving 2 + 0.7a = 0.25 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2 + 0.7a + -1a = 0.25 + 1a + -1a Combine like terms: 0.7a + -1a = -0.3a 2 + -0.3a = 0.25 + 1a + -1a Combine like terms: 1a + -1a = 0 2 + -0.3a = 0.25 + 0 2 + -0.3a = 0.25 Add '-2' to each side of the equation. 2 + -2 + -0.3a = 0.25 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3a = 0.25 + -2 -0.3a = 0.25 + -2 Combine like terms: 0.25 + -2 = -1.75 -0.3a = -1.75 Divide each side by '-0.3'. a = 5.833333333 Simplifying a = 5.833333333
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