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Simplifying 100 = 60a + [40(2a)] Remove parenthesis around (2a) 100 = 60a + [40 * 2a] Multiply 40 * 2 100 = 60a + [80a] Combine like terms: 60a + [80a] = 140a 100 = 140a Solving 100 = 140a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-140a' to each side of the equation. 100 + -140a = 140a + -140a Combine like terms: 140a + -140a = 0 100 + -140a = 0 Add '-100' to each side of the equation. 100 + -100 + -140a = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -140a = 0 + -100 -140a = 0 + -100 Combine like terms: 0 + -100 = -100 -140a = -100 Divide each side by '-140'. a = 0.7142857143 Simplifying a = 0.7142857143
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