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Simplifying 4 + 5a + -14 = 4a + 2a + 14 Reorder the terms: 4 + -14 + 5a = 4a + 2a + 14 Combine like terms: 4 + -14 = -10 -10 + 5a = 4a + 2a + 14 Reorder the terms: -10 + 5a = 14 + 4a + 2a Combine like terms: 4a + 2a = 6a -10 + 5a = 14 + 6a Solving -10 + 5a = 14 + 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. -10 + 5a + -6a = 14 + 6a + -6a Combine like terms: 5a + -6a = -1a -10 + -1a = 14 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + -1a = 14 + 0 -10 + -1a = 14 Add '10' to each side of the equation. -10 + 10 + -1a = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -1a = 14 + 10 -1a = 14 + 10 Combine like terms: 14 + 10 = 24 -1a = 24 Divide each side by '-1'. a = -24 Simplifying a = -24
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