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Simplifying 4 + -2(5a + -6) = 5a + -14 Reorder the terms: 4 + -2(-6 + 5a) = 5a + -14 4 + (-6 * -2 + 5a * -2) = 5a + -14 4 + (12 + -10a) = 5a + -14 Combine like terms: 4 + 12 = 16 16 + -10a = 5a + -14 Reorder the terms: 16 + -10a = -14 + 5a Solving 16 + -10a = -14 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 16 + -10a + -5a = -14 + 5a + -5a Combine like terms: -10a + -5a = -15a 16 + -15a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 16 + -15a = -14 + 0 16 + -15a = -14 Add '-16' to each side of the equation. 16 + -16 + -15a = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -15a = -14 + -16 -15a = -14 + -16 Combine like terms: -14 + -16 = -30 -15a = -30 Divide each side by '-15'. a = 2 Simplifying a = 2
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