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Simplifying 10 = 5(a + 6) Reorder the terms: 10 = 5(6 + a) 10 = (6 * 5 + a * 5) 10 = (30 + 5a) Solving 10 = 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. 10 + -5a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 10 + -5a = 30 + 0 10 + -5a = 30 Add '-10' to each side of the equation. 10 + -10 + -5a = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -5a = 30 + -10 -5a = 30 + -10 Combine like terms: 30 + -10 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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