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Simplifying 100a + -72b + -88c + -1(66c + -89a + 120b) = 0 Reorder the terms: 100a + -72b + -88c + -1(-89a + 120b + 66c) = 0 100a + -72b + -88c + (-89a * -1 + 120b * -1 + 66c * -1) = 0 100a + -72b + -88c + (89a + -120b + -66c) = 0 Reorder the terms: 100a + 89a + -72b + -120b + -88c + -66c = 0 Combine like terms: 100a + 89a = 189a 189a + -72b + -120b + -88c + -66c = 0 Combine like terms: -72b + -120b = -192b 189a + -192b + -88c + -66c = 0 Combine like terms: -88c + -66c = -154c 189a + -192b + -154c = 0 Solving 189a + -192b + -154c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '192b' to each side of the equation. 189a + -192b + 192b + -154c = 0 + 192b Combine like terms: -192b + 192b = 0 189a + 0 + -154c = 0 + 192b 189a + -154c = 0 + 192b Remove the zero: 189a + -154c = 192b Add '154c' to each side of the equation. 189a + -154c + 154c = 192b + 154c Combine like terms: -154c + 154c = 0 189a + 0 = 192b + 154c 189a = 192b + 154c Divide each side by '189'. a = 1.015873016b + 0.8148148148c Simplifying a = 1.015873016b + 0.8148148148c
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