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Simplifying 12 + 4z = 8(z + -2) Reorder the terms: 12 + 4z = 8(-2 + z) 12 + 4z = (-2 * 8 + z * 8) 12 + 4z = (-16 + 8z) Solving 12 + 4z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 12 + 4z + -8z = -16 + 8z + -8z Combine like terms: 4z + -8z = -4z 12 + -4z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 12 + -4z = -16 + 0 12 + -4z = -16 Add '-12' to each side of the equation. 12 + -12 + -4z = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = -16 + -12 -4z = -16 + -12 Combine like terms: -16 + -12 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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