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Simplifying 5z + -8 = -15 + 4z Reorder the terms: -8 + 5z = -15 + 4z Solving -8 + 5z = -15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -8 + 5z + -4z = -15 + 4z + -4z Combine like terms: 5z + -4z = 1z -8 + 1z = -15 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + 1z = -15 + 0 -8 + 1z = -15 Add '8' to each side of the equation. -8 + 8 + 1z = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = -15 + 8 1z = -15 + 8 Combine like terms: -15 + 8 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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