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Simplifying 5z + 3 + -6(2z) = 0 Remove parenthesis around (2z) 5z + 3 + -6 * 2z = 0 Multiply -6 * 2 5z + 3 + -12z = 0 Reorder the terms: 3 + 5z + -12z = 0 Combine like terms: 5z + -12z = -7z 3 + -7z = 0 Solving 3 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 0 + -3 -7z = 0 + -3 Combine like terms: 0 + -3 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286
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