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Simplifying 55 = -5(a + 6) Reorder the terms: 55 = -5(6 + a) 55 = (6 * -5 + a * -5) 55 = (-30 + -5a) Solving 55 = -30 + -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. 55 + 5a = -30 + -5a + 5a Combine like terms: -5a + 5a = 0 55 + 5a = -30 + 0 55 + 5a = -30 Add '-55' to each side of the equation. 55 + -55 + 5a = -30 + -55 Combine like terms: 55 + -55 = 0 0 + 5a = -30 + -55 5a = -30 + -55 Combine like terms: -30 + -55 = -85 5a = -85 Divide each side by '5'. a = -17 Simplifying a = -17
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