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Simplifying (7a + 10b) + -1(4a + -6b) = 0 Remove parenthesis around (7a + 10b) 7a + 10b + -1(4a + -6b) = 0 7a + 10b + (4a * -1 + -6b * -1) = 0 7a + 10b + (-4a + 6b) = 0 Reorder the terms: 7a + -4a + 10b + 6b = 0 Combine like terms: 7a + -4a = 3a 3a + 10b + 6b = 0 Combine like terms: 10b + 6b = 16b 3a + 16b = 0 Solving 3a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 3a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 3a + 0 = 0 + -16b 3a = 0 + -16b Remove the zero: 3a = -16b Divide each side by '3'. a = -5.333333333b Simplifying a = -5.333333333b
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