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Simplifying 240 = 2a + 2(a + -80) Reorder the terms: 240 = 2a + 2(-80 + a) 240 = 2a + (-80 * 2 + a * 2) 240 = 2a + (-160 + 2a) Reorder the terms: 240 = -160 + 2a + 2a Combine like terms: 2a + 2a = 4a 240 = -160 + 4a Solving 240 = -160 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 240 + -4a = -160 + 4a + -4a Combine like terms: 4a + -4a = 0 240 + -4a = -160 + 0 240 + -4a = -160 Add '-240' to each side of the equation. 240 + -240 + -4a = -160 + -240 Combine like terms: 240 + -240 = 0 0 + -4a = -160 + -240 -4a = -160 + -240 Combine like terms: -160 + -240 = -400 -4a = -400 Divide each side by '-4'. a = 100 Simplifying a = 100
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