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Simplifying 2(a + -5) + 4 = a + 9 Reorder the terms: 2(-5 + a) + 4 = a + 9 (-5 * 2 + a * 2) + 4 = a + 9 (-10 + 2a) + 4 = a + 9 Reorder the terms: -10 + 4 + 2a = a + 9 Combine like terms: -10 + 4 = -6 -6 + 2a = a + 9 Reorder the terms: -6 + 2a = 9 + a Solving -6 + 2a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -6 + 2a + -1a = 9 + a + -1a Combine like terms: 2a + -1a = 1a -6 + 1a = 9 + a + -1a Combine like terms: a + -1a = 0 -6 + 1a = 9 + 0 -6 + 1a = 9 Add '6' to each side of the equation. -6 + 6 + 1a = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 9 + 6 1a = 9 + 6 Combine like terms: 9 + 6 = 15 1a = 15 Divide each side by '1'. a = 15 Simplifying a = 15
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