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Simplifying 5z + -27 = -48 + 2z Reorder the terms: -27 + 5z = -48 + 2z Solving -27 + 5z = -48 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -27 + 5z + -2z = -48 + 2z + -2z Combine like terms: 5z + -2z = 3z -27 + 3z = -48 + 2z + -2z Combine like terms: 2z + -2z = 0 -27 + 3z = -48 + 0 -27 + 3z = -48 Add '27' to each side of the equation. -27 + 27 + 3z = -48 + 27 Combine like terms: -27 + 27 = 0 0 + 3z = -48 + 27 3z = -48 + 27 Combine like terms: -48 + 27 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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