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Simplifying 100a + 90(4a + 9b) + 70b + -2a = 0 100a + (4a * 90 + 9b * 90) + 70b + -2a = 0 100a + (360a + 810b) + 70b + -2a = 0 Reorder the terms: 100a + 360a + -2a + 810b + 70b = 0 Combine like terms: 100a + 360a = 460a 460a + -2a + 810b + 70b = 0 Combine like terms: 460a + -2a = 458a 458a + 810b + 70b = 0 Combine like terms: 810b + 70b = 880b 458a + 880b = 0 Solving 458a + 880b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-880b' to each side of the equation. 458a + 880b + -880b = 0 + -880b Combine like terms: 880b + -880b = 0 458a + 0 = 0 + -880b 458a = 0 + -880b Remove the zero: 458a = -880b Divide each side by '458'. a = -1.92139738b Simplifying a = -1.92139738b
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