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Simplifying -14 + 6a = 4a + 4(7 + 4a) -14 + 6a = 4a + (7 * 4 + 4a * 4) -14 + 6a = 4a + (28 + 16a) Reorder the terms: -14 + 6a = 28 + 4a + 16a Combine like terms: 4a + 16a = 20a -14 + 6a = 28 + 20a Solving -14 + 6a = 28 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -14 + 6a + -20a = 28 + 20a + -20a Combine like terms: 6a + -20a = -14a -14 + -14a = 28 + 20a + -20a Combine like terms: 20a + -20a = 0 -14 + -14a = 28 + 0 -14 + -14a = 28 Add '14' to each side of the equation. -14 + 14 + -14a = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -14a = 28 + 14 -14a = 28 + 14 Combine like terms: 28 + 14 = 42 -14a = 42 Divide each side by '-14'. a = -3 Simplifying a = -3
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