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Simplifying 5x[12a + -1b + -3c] = 0 [12a * 5x + -1b * 5x + -3c * 5x] = 0 [60ax + -5bx + -15cx] = 0 Solving 60ax + -5bx + -15cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5bx' to each side of the equation. 60ax + -5bx + 5bx + -15cx = 0 + 5bx Combine like terms: -5bx + 5bx = 0 60ax + 0 + -15cx = 0 + 5bx 60ax + -15cx = 0 + 5bx Remove the zero: 60ax + -15cx = 5bx Add '15cx' to each side of the equation. 60ax + -15cx + 15cx = 5bx + 15cx Combine like terms: -15cx + 15cx = 0 60ax + 0 = 5bx + 15cx 60ax = 5bx + 15cx Divide each side by '60x'. a = 0.08333333333b + 0.25c Simplifying a = 0.08333333333b + 0.25c
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