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Simplifying 8(2a + b) + -2(3x + 3y) = 0 (2a * 8 + b * 8) + -2(3x + 3y) = 0 (16a + 8b) + -2(3x + 3y) = 0 16a + 8b + (3x * -2 + 3y * -2) = 0 16a + 8b + (-6x + -6y) = 0 Solving 16a + 8b + -6x + -6y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 16a + 8b + -6x + -8b + -6y = 0 + -8b Reorder the terms: 16a + 8b + -8b + -6x + -6y = 0 + -8b Combine like terms: 8b + -8b = 0 16a + 0 + -6x + -6y = 0 + -8b 16a + -6x + -6y = 0 + -8b Remove the zero: 16a + -6x + -6y = -8b Add '6x' to each side of the equation. 16a + -6x + 6x + -6y = -8b + 6x Combine like terms: -6x + 6x = 0 16a + 0 + -6y = -8b + 6x 16a + -6y = -8b + 6x Add '6y' to each side of the equation. 16a + -6y + 6y = -8b + 6x + 6y Combine like terms: -6y + 6y = 0 16a + 0 = -8b + 6x + 6y 16a = -8b + 6x + 6y Divide each side by '16'. a = -0.5b + 0.375x + 0.375y Simplifying a = -0.5b + 0.375x + 0.375y
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