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Simplifying 5a + 2a + -6 = 4a + -5 Reorder the terms: -6 + 5a + 2a = 4a + -5 Combine like terms: 5a + 2a = 7a -6 + 7a = 4a + -5 Reorder the terms: -6 + 7a = -5 + 4a Solving -6 + 7a = -5 + 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. -6 + 7a + -4a = -5 + 4a + -4a Combine like terms: 7a + -4a = 3a -6 + 3a = -5 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + 3a = -5 + 0 -6 + 3a = -5 Add '6' to each side of the equation. -6 + 6 + 3a = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = -5 + 6 3a = -5 + 6 Combine like terms: -5 + 6 = 1 3a = 1 Divide each side by '3'. a = 0.3333333333 Simplifying a = 0.3333333333
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