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Simplifying 260 = 5a + -5(2 + -8a) 260 = 5a + (2 * -5 + -8a * -5) 260 = 5a + (-10 + 40a) Reorder the terms: 260 = -10 + 5a + 40a Combine like terms: 5a + 40a = 45a 260 = -10 + 45a Solving 260 = -10 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 260 + -45a = -10 + 45a + -45a Combine like terms: 45a + -45a = 0 260 + -45a = -10 + 0 260 + -45a = -10 Add '-260' to each side of the equation. 260 + -260 + -45a = -10 + -260 Combine like terms: 260 + -260 = 0 0 + -45a = -10 + -260 -45a = -10 + -260 Combine like terms: -10 + -260 = -270 -45a = -270 Divide each side by '-45'. a = 6 Simplifying a = 6
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