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Simplifying (9z3 + -5d) + -1(-3z3) = 0 Reorder the terms: (-5d + 9z3) + -1(-3z3) = 0 Remove parenthesis around (-5d + 9z3) -5d + 9z3 + -1(-3z3) = 0 Remove parenthesis around (-3z3) -5d + 9z3 + -1 * -3z3 = 0 Multiply -1 * -3 -5d + 9z3 + 3z3 = 0 Combine like terms: 9z3 + 3z3 = 12z3 -5d + 12z3 = 0 Solving -5d + 12z3 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12z3' to each side of the equation. -5d + 12z3 + -12z3 = 0 + -12z3 Combine like terms: 12z3 + -12z3 = 0 -5d + 0 = 0 + -12z3 -5d = 0 + -12z3 Remove the zero: -5d = -12z3 Divide each side by '-5'. d = 2.4z3 Simplifying d = 2.4z3
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