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Simplifying 2a + -6 = 9a + -27 Reorder the terms: -6 + 2a = 9a + -27 Reorder the terms: -6 + 2a = -27 + 9a Solving -6 + 2a = -27 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -6 + 2a + -9a = -27 + 9a + -9a Combine like terms: 2a + -9a = -7a -6 + -7a = -27 + 9a + -9a Combine like terms: 9a + -9a = 0 -6 + -7a = -27 + 0 -6 + -7a = -27 Add '6' to each side of the equation. -6 + 6 + -7a = -27 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = -27 + 6 -7a = -27 + 6 Combine like terms: -27 + 6 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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