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Simplifying 7a + 7 = 9(5a + -8) Reorder the terms: 7 + 7a = 9(5a + -8) Reorder the terms: 7 + 7a = 9(-8 + 5a) 7 + 7a = (-8 * 9 + 5a * 9) 7 + 7a = (-72 + 45a) Solving 7 + 7a = -72 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 7 + 7a + -45a = -72 + 45a + -45a Combine like terms: 7a + -45a = -38a 7 + -38a = -72 + 45a + -45a Combine like terms: 45a + -45a = 0 7 + -38a = -72 + 0 7 + -38a = -72 Add '-7' to each side of the equation. 7 + -7 + -38a = -72 + -7 Combine like terms: 7 + -7 = 0 0 + -38a = -72 + -7 -38a = -72 + -7 Combine like terms: -72 + -7 = -79 -38a = -79 Divide each side by '-38'. a = 2.078947368 Simplifying a = 2.078947368
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