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Simplifying 205 = 5(6 + -7a) 205 = (6 * 5 + -7a * 5) 205 = (30 + -35a) Solving 205 = 30 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 205 + 35a = 30 + -35a + 35a Combine like terms: -35a + 35a = 0 205 + 35a = 30 + 0 205 + 35a = 30 Add '-205' to each side of the equation. 205 + -205 + 35a = 30 + -205 Combine like terms: 205 + -205 = 0 0 + 35a = 30 + -205 35a = 30 + -205 Combine like terms: 30 + -205 = -175 35a = -175 Divide each side by '35'. a = -5 Simplifying a = -5
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