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Simplifying 5x(a + -2b) + -4b = 0 (a * 5x + -2b * 5x) + -4b = 0 (5ax + -10bx) + -4b = 0 Reorder the terms: 5ax + -4b + -10bx = 0 Solving 5ax + -4b + -10bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5ax + -4b + 4b + -10bx = 0 + 4b Combine like terms: -4b + 4b = 0 5ax + 0 + -10bx = 0 + 4b 5ax + -10bx = 0 + 4b Remove the zero: 5ax + -10bx = 4b Add '10bx' to each side of the equation. 5ax + -10bx + 10bx = 4b + 10bx Combine like terms: -10bx + 10bx = 0 5ax + 0 = 4b + 10bx 5ax = 4b + 10bx Divide each side by '5x'. a = 0.8bx-1 + 2b Simplifying a = 0.8bx-1 + 2b Reorder the terms: a = 2b + 0.8bx-1
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