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