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Simplifying 11z + 6 = 2(6z + -2) Reorder the terms: 6 + 11z = 2(6z + -2) Reorder the terms: 6 + 11z = 2(-2 + 6z) 6 + 11z = (-2 * 2 + 6z * 2) 6 + 11z = (-4 + 12z) Solving 6 + 11z = -4 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 6 + 11z + -12z = -4 + 12z + -12z Combine like terms: 11z + -12z = -1z 6 + -1z = -4 + 12z + -12z Combine like terms: 12z + -12z = 0 6 + -1z = -4 + 0 6 + -1z = -4 Add '-6' to each side of the equation. 6 + -6 + -1z = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = -4 + -6 -1z = -4 + -6 Combine like terms: -4 + -6 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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