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Simplifying 5(8a + -2b) + -7b = 0 (8a * 5 + -2b * 5) + -7b = 0 (40a + -10b) + -7b = 0 Combine like terms: -10b + -7b = -17b 40a + -17b = 0 Solving 40a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 40a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 40a + 0 = 0 + 17b 40a = 0 + 17b Remove the zero: 40a = 17b Divide each side by '40'. a = 0.425b Simplifying a = 0.425b
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