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Simplifying 4a + 2a + -6 + -3a = a + 7 + -5 + -2a Reorder the terms: -6 + 4a + 2a + -3a = a + 7 + -5 + -2a Combine like terms: 4a + 2a = 6a -6 + 6a + -3a = a + 7 + -5 + -2a Combine like terms: 6a + -3a = 3a -6 + 3a = a + 7 + -5 + -2a Reorder the terms: -6 + 3a = 7 + -5 + a + -2a Combine like terms: 7 + -5 = 2 -6 + 3a = 2 + a + -2a Combine like terms: a + -2a = -1a -6 + 3a = 2 + -1a Solving -6 + 3a = 2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -6 + 3a + a = 2 + -1a + a Combine like terms: 3a + a = 4a -6 + 4a = 2 + -1a + a Combine like terms: -1a + a = 0 -6 + 4a = 2 + 0 -6 + 4a = 2 Add '6' to each side of the equation. -6 + 6 + 4a = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 2 + 6 4a = 2 + 6 Combine like terms: 2 + 6 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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