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Simplifying 5a + -6 = 14a + 21 Reorder the terms: -6 + 5a = 14a + 21 Reorder the terms: -6 + 5a = 21 + 14a Solving -6 + 5a = 21 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -6 + 5a + -14a = 21 + 14a + -14a Combine like terms: 5a + -14a = -9a -6 + -9a = 21 + 14a + -14a Combine like terms: 14a + -14a = 0 -6 + -9a = 21 + 0 -6 + -9a = 21 Add '6' to each side of the equation. -6 + 6 + -9a = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9a = 21 + 6 -9a = 21 + 6 Combine like terms: 21 + 6 = 27 -9a = 27 Divide each side by '-9'. a = -3 Simplifying a = -3
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