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Simplifying 5(a + 9) = 7(a + -5) Reorder the terms: 5(9 + a) = 7(a + -5) (9 * 5 + a * 5) = 7(a + -5) (45 + 5a) = 7(a + -5) Reorder the terms: 45 + 5a = 7(-5 + a) 45 + 5a = (-5 * 7 + a * 7) 45 + 5a = (-35 + 7a) Solving 45 + 5a = -35 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 45 + 5a + -7a = -35 + 7a + -7a Combine like terms: 5a + -7a = -2a 45 + -2a = -35 + 7a + -7a Combine like terms: 7a + -7a = 0 45 + -2a = -35 + 0 45 + -2a = -35 Add '-45' to each side of the equation. 45 + -45 + -2a = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -2a = -35 + -45 -2a = -35 + -45 Combine like terms: -35 + -45 = -80 -2a = -80 Divide each side by '-2'. a = 40 Simplifying a = 40
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