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Simplifying 8 + -1a + -9 = 7a + -6 Reorder the terms: 8 + -9 + -1a = 7a + -6 Combine like terms: 8 + -9 = -1 -1 + -1a = 7a + -6 Reorder the terms: -1 + -1a = -6 + 7a Solving -1 + -1a = -6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -1 + -1a + -7a = -6 + 7a + -7a Combine like terms: -1a + -7a = -8a -1 + -8a = -6 + 7a + -7a Combine like terms: 7a + -7a = 0 -1 + -8a = -6 + 0 -1 + -8a = -6 Add '1' to each side of the equation. -1 + 1 + -8a = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = -6 + 1 -8a = -6 + 1 Combine like terms: -6 + 1 = -5 -8a = -5 Divide each side by '-8'. a = 0.625 Simplifying a = 0.625
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