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Simplifying 7z + -12 + 18z + 8 = 4 + -4(5 + -6z + z) Reorder the terms: -12 + 8 + 7z + 18z = 4 + -4(5 + -6z + z) Combine like terms: -12 + 8 = -4 -4 + 7z + 18z = 4 + -4(5 + -6z + z) Combine like terms: 7z + 18z = 25z -4 + 25z = 4 + -4(5 + -6z + z) Combine like terms: -6z + z = -5z -4 + 25z = 4 + -4(5 + -5z) -4 + 25z = 4 + (5 * -4 + -5z * -4) -4 + 25z = 4 + (-20 + 20z) Combine like terms: 4 + -20 = -16 -4 + 25z = -16 + 20z Solving -4 + 25z = -16 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -4 + 25z + -20z = -16 + 20z + -20z Combine like terms: 25z + -20z = 5z -4 + 5z = -16 + 20z + -20z Combine like terms: 20z + -20z = 0 -4 + 5z = -16 + 0 -4 + 5z = -16 Add '4' to each side of the equation. -4 + 4 + 5z = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 5z = -16 + 4 5z = -16 + 4 Combine like terms: -16 + 4 = -12 5z = -12 Divide each side by '5'. z = -2.4 Simplifying z = -2.4
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