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Simplifying a + -6 = 4a + 9 Reorder the terms: -6 + a = 4a + 9 Reorder the terms: -6 + a = 9 + 4a Solving -6 + a = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -6 + a + -4a = 9 + 4a + -4a Combine like terms: a + -4a = -3a -6 + -3a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -3a = 9 + 0 -6 + -3a = 9 Add '6' to each side of the equation. -6 + 6 + -3a = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3a = 9 + 6 -3a = 9 + 6 Combine like terms: 9 + 6 = 15 -3a = 15 Divide each side by '-3'. a = -5 Simplifying a = -5
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