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Simplifying 7(7a + -2) = 5(2a + 5) Reorder the terms: 7(-2 + 7a) = 5(2a + 5) (-2 * 7 + 7a * 7) = 5(2a + 5) (-14 + 49a) = 5(2a + 5) Reorder the terms: -14 + 49a = 5(5 + 2a) -14 + 49a = (5 * 5 + 2a * 5) -14 + 49a = (25 + 10a) Solving -14 + 49a = 25 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -14 + 49a + -10a = 25 + 10a + -10a Combine like terms: 49a + -10a = 39a -14 + 39a = 25 + 10a + -10a Combine like terms: 10a + -10a = 0 -14 + 39a = 25 + 0 -14 + 39a = 25 Add '14' to each side of the equation. -14 + 14 + 39a = 25 + 14 Combine like terms: -14 + 14 = 0 0 + 39a = 25 + 14 39a = 25 + 14 Combine like terms: 25 + 14 = 39 39a = 39 Divide each side by '39'. a = 1 Simplifying a = 1
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