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Simplifying 4a + -5a = -7 + 6a + -5 + 6 Combine like terms: 4a + -5a = -1a -1a = -7 + 6a + -5 + 6 Reorder the terms: -1a = -7 + -5 + 6 + 6a Combine like terms: -7 + -5 = -12 -1a = -12 + 6 + 6a Combine like terms: -12 + 6 = -6 -1a = -6 + 6a Solving -1a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1a + -6a = -6 + 6a + -6a Combine like terms: -1a + -6a = -7a -7a = -6 + 6a + -6a Combine like terms: 6a + -6a = 0 -7a = -6 + 0 -7a = -6 Divide each side by '-7'. a = 0.8571428571 Simplifying a = 0.8571428571
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