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Simplifying 5(7a + -3b) + -7b = 0 (7a * 5 + -3b * 5) + -7b = 0 (35a + -15b) + -7b = 0 Combine like terms: -15b + -7b = -22b 35a + -22b = 0 Solving 35a + -22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22b' to each side of the equation. 35a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 35a + 0 = 0 + 22b 35a = 0 + 22b Remove the zero: 35a = 22b Divide each side by '35'. a = 0.6285714286b Simplifying a = 0.6285714286b
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