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Simplifying 4 + 3a + -6 = 43 + 5a Reorder the terms: 4 + -6 + 3a = 43 + 5a Combine like terms: 4 + -6 = -2 -2 + 3a = 43 + 5a Solving -2 + 3a = 43 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -2 + 3a + -5a = 43 + 5a + -5a Combine like terms: 3a + -5a = -2a -2 + -2a = 43 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + -2a = 43 + 0 -2 + -2a = 43 Add '2' to each side of the equation. -2 + 2 + -2a = 43 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = 43 + 2 -2a = 43 + 2 Combine like terms: 43 + 2 = 45 -2a = 45 Divide each side by '-2'. a = -22.5 Simplifying a = -22.5
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