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Simplifying [3z + 7][-2] = 0 Reorder the terms: [7 + 3z][-2] = 0 Reorder the terms for easier multiplication: -2[7 + 3z] = 0 [7 * -2 + 3z * -2] = 0 [-14 + -6z] = 0 Solving -14 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -6z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6z = 0 + 14 -6z = 0 + 14 Combine like terms: 0 + 14 = 14 -6z = 14 Divide each side by '-6'. z = -2.333333333 Simplifying z = -2.333333333
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