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Simplifying 7a + 2 = 5(a + -4) Reorder the terms: 2 + 7a = 5(a + -4) Reorder the terms: 2 + 7a = 5(-4 + a) 2 + 7a = (-4 * 5 + a * 5) 2 + 7a = (-20 + 5a) Solving 2 + 7a = -20 + 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. 2 + 7a + -5a = -20 + 5a + -5a Combine like terms: 7a + -5a = 2a 2 + 2a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + 2a = -20 + 0 2 + 2a = -20 Add '-2' to each side of the equation. 2 + -2 + 2a = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -20 + -2 2a = -20 + -2 Combine like terms: -20 + -2 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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