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Simplifying 2(5a + -7) = 3(2a + 5) Reorder the terms: 2(-7 + 5a) = 3(2a + 5) (-7 * 2 + 5a * 2) = 3(2a + 5) (-14 + 10a) = 3(2a + 5) Reorder the terms: -14 + 10a = 3(5 + 2a) -14 + 10a = (5 * 3 + 2a * 3) -14 + 10a = (15 + 6a) Solving -14 + 10a = 15 + 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. -14 + 10a + -6a = 15 + 6a + -6a Combine like terms: 10a + -6a = 4a -14 + 4a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 -14 + 4a = 15 + 0 -14 + 4a = 15 Add '14' to each side of the equation. -14 + 14 + 4a = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 4a = 15 + 14 4a = 15 + 14 Combine like terms: 15 + 14 = 29 4a = 29 Divide each side by '4'. a = 7.25 Simplifying a = 7.25
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