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Simplifying -5a + -14 = 4a + 5(6 + -4a) Reorder the terms: -14 + -5a = 4a + 5(6 + -4a) -14 + -5a = 4a + (6 * 5 + -4a * 5) -14 + -5a = 4a + (30 + -20a) Reorder the terms: -14 + -5a = 30 + 4a + -20a Combine like terms: 4a + -20a = -16a -14 + -5a = 30 + -16a Solving -14 + -5a = 30 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -14 + -5a + 16a = 30 + -16a + 16a Combine like terms: -5a + 16a = 11a -14 + 11a = 30 + -16a + 16a Combine like terms: -16a + 16a = 0 -14 + 11a = 30 + 0 -14 + 11a = 30 Add '14' to each side of the equation. -14 + 14 + 11a = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 11a = 30 + 14 11a = 30 + 14 Combine like terms: 30 + 14 = 44 11a = 44 Divide each side by '11'. a = 4 Simplifying a = 4
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