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Simplifying 4 = 5a + -2(a + 4) Reorder the terms: 4 = 5a + -2(4 + a) 4 = 5a + (4 * -2 + a * -2) 4 = 5a + (-8 + -2a) Reorder the terms: 4 = -8 + 5a + -2a Combine like terms: 5a + -2a = 3a 4 = -8 + 3a Solving 4 = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + -3a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -3a = -8 + 0 4 + -3a = -8 Add '-4' to each side of the equation. 4 + -4 + -3a = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = -8 + -4 -3a = -8 + -4 Combine like terms: -8 + -4 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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