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Simplifying 2z + -14 = 2(6z + -27) Reorder the terms: -14 + 2z = 2(6z + -27) Reorder the terms: -14 + 2z = 2(-27 + 6z) -14 + 2z = (-27 * 2 + 6z * 2) -14 + 2z = (-54 + 12z) Solving -14 + 2z = -54 + 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. -14 + 2z + -12z = -54 + 12z + -12z Combine like terms: 2z + -12z = -10z -14 + -10z = -54 + 12z + -12z Combine like terms: 12z + -12z = 0 -14 + -10z = -54 + 0 -14 + -10z = -54 Add '14' to each side of the equation. -14 + 14 + -10z = -54 + 14 Combine like terms: -14 + 14 = 0 0 + -10z = -54 + 14 -10z = -54 + 14 Combine like terms: -54 + 14 = -40 -10z = -40 Divide each side by '-10'. z = 4 Simplifying z = 4
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