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Simplifying 12abc + 16bcd + 32b = 0 Reorder the terms: 12abc + 32b + 16bcd = 0 Solving 12abc + 32b + 16bcd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32b' to each side of the equation. 12abc + 32b + -32b + 16bcd = 0 + -32b Combine like terms: 32b + -32b = 0 12abc + 0 + 16bcd = 0 + -32b 12abc + 16bcd = 0 + -32b Remove the zero: 12abc + 16bcd = -32b Add '-16bcd' to each side of the equation. 12abc + 16bcd + -16bcd = -32b + -16bcd Combine like terms: 16bcd + -16bcd = 0 12abc + 0 = -32b + -16bcd 12abc = -32b + -16bcd Divide each side by '12bc'. a = -2.666666667c-1 + -1.333333333d Simplifying a = -2.666666667c-1 + -1.333333333d
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