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Simplifying 7(5a + -1b) + -3(6b + -2a) = 0 (5a * 7 + -1b * 7) + -3(6b + -2a) = 0 (35a + -7b) + -3(6b + -2a) = 0 Reorder the terms: 35a + -7b + -3(-2a + 6b) = 0 35a + -7b + (-2a * -3 + 6b * -3) = 0 35a + -7b + (6a + -18b) = 0 Reorder the terms: 35a + 6a + -7b + -18b = 0 Combine like terms: 35a + 6a = 41a 41a + -7b + -18b = 0 Combine like terms: -7b + -18b = -25b 41a + -25b = 0 Solving 41a + -25b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. 41a + -25b + 25b = 0 + 25b Combine like terms: -25b + 25b = 0 41a + 0 = 0 + 25b 41a = 0 + 25b Remove the zero: 41a = 25b Divide each side by '41'. a = 0.6097560976b Simplifying a = 0.6097560976b
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