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Simplifying 7(2a + -1b) + -7(4b + -7a) = 0 (2a * 7 + -1b * 7) + -7(4b + -7a) = 0 (14a + -7b) + -7(4b + -7a) = 0 Reorder the terms: 14a + -7b + -7(-7a + 4b) = 0 14a + -7b + (-7a * -7 + 4b * -7) = 0 14a + -7b + (49a + -28b) = 0 Reorder the terms: 14a + 49a + -7b + -28b = 0 Combine like terms: 14a + 49a = 63a 63a + -7b + -28b = 0 Combine like terms: -7b + -28b = -35b 63a + -35b = 0 Solving 63a + -35b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35b' to each side of the equation. 63a + -35b + 35b = 0 + 35b Combine like terms: -35b + 35b = 0 63a + 0 = 0 + 35b 63a = 0 + 35b Remove the zero: 63a = 35b Divide each side by '63'. a = 0.5555555556b Simplifying a = 0.5555555556b
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