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Simplifying 6(3z + 1) + -1z + -22 = 0 Reorder the terms: 6(1 + 3z) + -1z + -22 = 0 (1 * 6 + 3z * 6) + -1z + -22 = 0 (6 + 18z) + -1z + -22 = 0 Reorder the terms: 6 + -22 + 18z + -1z = 0 Combine like terms: 6 + -22 = -16 -16 + 18z + -1z = 0 Combine like terms: 18z + -1z = 17z -16 + 17z = 0 Solving -16 + 17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 17z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 17z = 0 + 16 17z = 0 + 16 Combine like terms: 0 + 16 = 16 17z = 16 Divide each side by '17'. z = 0.9411764706 Simplifying z = 0.9411764706
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