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Simplifying 43 = 7w + -15 + -5a Reorder the terms: 43 = -15 + -5a + 7w Solving 43 = -15 + -5a + 7w 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. 43 + 5a = -15 + -5a + 5a + 7w Combine like terms: -5a + 5a = 0 43 + 5a = -15 + 0 + 7w 43 + 5a = -15 + 7w Add '-43' to each side of the equation. 43 + -43 + 5a = -15 + -43 + 7w Combine like terms: 43 + -43 = 0 0 + 5a = -15 + -43 + 7w 5a = -15 + -43 + 7w Combine like terms: -15 + -43 = -58 5a = -58 + 7w Divide each side by '5'. a = -11.6 + 1.4w Simplifying a = -11.6 + 1.4w
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