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Simplifying 7 + 5(2a + b) = 0 7 + (2a * 5 + b * 5) = 0 7 + (10a + 5b) = 0 Solving 7 + 10a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 10a + -7 + 5b = 0 + -7 Reorder the terms: 7 + -7 + 10a + 5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10a + 5b = 0 + -7 10a + 5b = 0 + -7 Combine like terms: 0 + -7 = -7 10a + 5b = -7 Add '-5b' to each side of the equation. 10a + 5b + -5b = -7 + -5b Combine like terms: 5b + -5b = 0 10a + 0 = -7 + -5b 10a = -7 + -5b Divide each side by '10'. a = -0.7 + -0.5b Simplifying a = -0.7 + -0.5b
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