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Simplifying 7a + 4 = 2(a + -8) Reorder the terms: 4 + 7a = 2(a + -8) Reorder the terms: 4 + 7a = 2(-8 + a) 4 + 7a = (-8 * 2 + a * 2) 4 + 7a = (-16 + 2a) Solving 4 + 7a = -16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + 7a + -2a = -16 + 2a + -2a Combine like terms: 7a + -2a = 5a 4 + 5a = -16 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 5a = -16 + 0 4 + 5a = -16 Add '-4' to each side of the equation. 4 + -4 + 5a = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = -16 + -4 5a = -16 + -4 Combine like terms: -16 + -4 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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