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Simplifying 16a + -2x(2 + 4b) + 5b = 0 16a + (2 * -2x + 4b * -2x) + 5b = 0 Reorder the terms: 16a + (-8bx + -4x) + 5b = 0 16a + (-8bx + -4x) + 5b = 0 Reorder the terms: 16a + 5b + -8bx + -4x = 0 Solving 16a + 5b + -8bx + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 16a + 5b + -8bx + -5b + -4x = 0 + -5b Reorder the terms: 16a + 5b + -5b + -8bx + -4x = 0 + -5b Combine like terms: 5b + -5b = 0 16a + 0 + -8bx + -4x = 0 + -5b 16a + -8bx + -4x = 0 + -5b Remove the zero: 16a + -8bx + -4x = -5b Add '8bx' to each side of the equation. 16a + -8bx + 8bx + -4x = -5b + 8bx Combine like terms: -8bx + 8bx = 0 16a + 0 + -4x = -5b + 8bx 16a + -4x = -5b + 8bx Add '4x' to each side of the equation. 16a + -4x + 4x = -5b + 8bx + 4x Combine like terms: -4x + 4x = 0 16a + 0 = -5b + 8bx + 4x 16a = -5b + 8bx + 4x Divide each side by '16'. a = -0.3125b + 0.5bx + 0.25x Simplifying a = -0.3125b + 0.5bx + 0.25x
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