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Simplifying 5x(3a + 4b + -2) = 0 Reorder the terms: 5x(-2 + 3a + 4b) = 0 (-2 * 5x + 3a * 5x + 4b * 5x) = 0 Reorder the terms: (15ax + 20bx + -10x) = 0 (15ax + 20bx + -10x) = 0 Solving 15ax + 20bx + -10x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20bx' to each side of the equation. 15ax + 20bx + -20bx + -10x = 0 + -20bx Combine like terms: 20bx + -20bx = 0 15ax + 0 + -10x = 0 + -20bx 15ax + -10x = 0 + -20bx Remove the zero: 15ax + -10x = -20bx Add '10x' to each side of the equation. 15ax + -10x + 10x = -20bx + 10x Combine like terms: -10x + 10x = 0 15ax + 0 = -20bx + 10x 15ax = -20bx + 10x Divide each side by '15x'. a = -1.333333333b + 0.6666666667 Simplifying a = -1.333333333b + 0.6666666667 Reorder the terms: a = 0.6666666667 + -1.333333333b
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