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Simplifying 7(2a + 5b) + 7(3a + 4b) = 0 (2a * 7 + 5b * 7) + 7(3a + 4b) = 0 (14a + 35b) + 7(3a + 4b) = 0 14a + 35b + (3a * 7 + 4b * 7) = 0 14a + 35b + (21a + 28b) = 0 Reorder the terms: 14a + 21a + 35b + 28b = 0 Combine like terms: 14a + 21a = 35a 35a + 35b + 28b = 0 Combine like terms: 35b + 28b = 63b 35a + 63b = 0 Solving 35a + 63b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-63b' to each side of the equation. 35a + 63b + -63b = 0 + -63b Combine like terms: 63b + -63b = 0 35a + 0 = 0 + -63b 35a = 0 + -63b Remove the zero: 35a = -63b Divide each side by '35'. a = -1.8b Simplifying a = -1.8b
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