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Simplifying 9a + -3a + 4 = -6a + 100 + -4a Reorder the terms: 4 + 9a + -3a = -6a + 100 + -4a Combine like terms: 9a + -3a = 6a 4 + 6a = -6a + 100 + -4a Reorder the terms: 4 + 6a = 100 + -6a + -4a Combine like terms: -6a + -4a = -10a 4 + 6a = 100 + -10a Solving 4 + 6a = 100 + -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. 4 + 6a + 10a = 100 + -10a + 10a Combine like terms: 6a + 10a = 16a 4 + 16a = 100 + -10a + 10a Combine like terms: -10a + 10a = 0 4 + 16a = 100 + 0 4 + 16a = 100 Add '-4' to each side of the equation. 4 + -4 + 16a = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 16a = 100 + -4 16a = 100 + -4 Combine like terms: 100 + -4 = 96 16a = 96 Divide each side by '16'. a = 6 Simplifying a = 6
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