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Simplifying 50 + 4a = 2(5a + -8) Reorder the terms: 50 + 4a = 2(-8 + 5a) 50 + 4a = (-8 * 2 + 5a * 2) 50 + 4a = (-16 + 10a) Solving 50 + 4a = -16 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 50 + 4a + -10a = -16 + 10a + -10a Combine like terms: 4a + -10a = -6a 50 + -6a = -16 + 10a + -10a Combine like terms: 10a + -10a = 0 50 + -6a = -16 + 0 50 + -6a = -16 Add '-50' to each side of the equation. 50 + -50 + -6a = -16 + -50 Combine like terms: 50 + -50 = 0 0 + -6a = -16 + -50 -6a = -16 + -50 Combine like terms: -16 + -50 = -66 -6a = -66 Divide each side by '-6'. a = 11 Simplifying a = 11
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