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Simplifying 6a + 4a + -34 = 3 + 4a + 5 Reorder the terms: -34 + 6a + 4a = 3 + 4a + 5 Combine like terms: 6a + 4a = 10a -34 + 10a = 3 + 4a + 5 Reorder the terms: -34 + 10a = 3 + 5 + 4a Combine like terms: 3 + 5 = 8 -34 + 10a = 8 + 4a Solving -34 + 10a = 8 + 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. -34 + 10a + -4a = 8 + 4a + -4a Combine like terms: 10a + -4a = 6a -34 + 6a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -34 + 6a = 8 + 0 -34 + 6a = 8 Add '34' to each side of the equation. -34 + 34 + 6a = 8 + 34 Combine like terms: -34 + 34 = 0 0 + 6a = 8 + 34 6a = 8 + 34 Combine like terms: 8 + 34 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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