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Simplifying 9a + 7a + -67 = 4 + 3a + 7 Reorder the terms: -67 + 9a + 7a = 4 + 3a + 7 Combine like terms: 9a + 7a = 16a -67 + 16a = 4 + 3a + 7 Reorder the terms: -67 + 16a = 4 + 7 + 3a Combine like terms: 4 + 7 = 11 -67 + 16a = 11 + 3a Solving -67 + 16a = 11 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -67 + 16a + -3a = 11 + 3a + -3a Combine like terms: 16a + -3a = 13a -67 + 13a = 11 + 3a + -3a Combine like terms: 3a + -3a = 0 -67 + 13a = 11 + 0 -67 + 13a = 11 Add '67' to each side of the equation. -67 + 67 + 13a = 11 + 67 Combine like terms: -67 + 67 = 0 0 + 13a = 11 + 67 13a = 11 + 67 Combine like terms: 11 + 67 = 78 13a = 78 Divide each side by '13'. a = 6 Simplifying a = 6
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