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Simplifying -5a + 6 = 2a + 27 Reorder the terms: 6 + -5a = 2a + 27 Reorder the terms: 6 + -5a = 27 + 2a Solving 6 + -5a = 27 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + -5a + -2a = 27 + 2a + -2a Combine like terms: -5a + -2a = -7a 6 + -7a = 27 + 2a + -2a Combine like terms: 2a + -2a = 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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