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Simplifying 5(2a + 7) = 2(3a + 4) Reorder the terms: 5(7 + 2a) = 2(3a + 4) (7 * 5 + 2a * 5) = 2(3a + 4) (35 + 10a) = 2(3a + 4) Reorder the terms: 35 + 10a = 2(4 + 3a) 35 + 10a = (4 * 2 + 3a * 2) 35 + 10a = (8 + 6a) Solving 35 + 10a = 8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 35 + 10a + -6a = 8 + 6a + -6a Combine like terms: 10a + -6a = 4a 35 + 4a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 35 + 4a = 8 + 0 35 + 4a = 8 Add '-35' to each side of the equation. 35 + -35 + 4a = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 4a = 8 + -35 4a = 8 + -35 Combine like terms: 8 + -35 = -27 4a = -27 Divide each side by '4'. a = -6.75 Simplifying a = -6.75
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