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Simplifying 7z + -18 = -3(z + -4) Reorder the terms: -18 + 7z = -3(z + -4) Reorder the terms: -18 + 7z = -3(-4 + z) -18 + 7z = (-4 * -3 + z * -3) -18 + 7z = (12 + -3z) Solving -18 + 7z = 12 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -18 + 7z + 3z = 12 + -3z + 3z Combine like terms: 7z + 3z = 10z -18 + 10z = 12 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 10z = 12 + 0 -18 + 10z = 12 Add '18' to each side of the equation. -18 + 18 + 10z = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10z = 12 + 18 10z = 12 + 18 Combine like terms: 12 + 18 = 30 10z = 30 Divide each side by '10'. z = 3 Simplifying z = 3
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