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Simplifying 7a + -2 + -4a = 2a + 6 + 5a Reorder the terms: -2 + 7a + -4a = 2a + 6 + 5a Combine like terms: 7a + -4a = 3a -2 + 3a = 2a + 6 + 5a Reorder the terms: -2 + 3a = 6 + 2a + 5a Combine like terms: 2a + 5a = 7a -2 + 3a = 6 + 7a Solving -2 + 3a = 6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -2 + 3a + -7a = 6 + 7a + -7a Combine like terms: 3a + -7a = -4a -2 + -4a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -4a = 6 + 0 -2 + -4a = 6 Add '2' to each side of the equation. -2 + 2 + -4a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4a = 6 + 2 -4a = 6 + 2 Combine like terms: 6 + 2 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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