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Simplifying 2z + 4 = 6(z + -2) Reorder the terms: 4 + 2z = 6(z + -2) Reorder the terms: 4 + 2z = 6(-2 + z) 4 + 2z = (-2 * 6 + z * 6) 4 + 2z = (-12 + 6z) Solving 4 + 2z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4 + 2z + -6z = -12 + 6z + -6z Combine like terms: 2z + -6z = -4z 4 + -4z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + -4z = -12 + 0 4 + -4z = -12 Add '-4' to each side of the equation. 4 + -4 + -4z = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4z = -12 + -4 -4z = -12 + -4 Combine like terms: -12 + -4 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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