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Simplifying 19z + -4 = 15z + -32 Reorder the terms: -4 + 19z = 15z + -32 Reorder the terms: -4 + 19z = -32 + 15z Solving -4 + 19z = -32 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -4 + 19z + -15z = -32 + 15z + -15z Combine like terms: 19z + -15z = 4z -4 + 4z = -32 + 15z + -15z Combine like terms: 15z + -15z = 0 -4 + 4z = -32 + 0 -4 + 4z = -32 Add '4' to each side of the equation. -4 + 4 + 4z = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 4z = -32 + 4 4z = -32 + 4 Combine like terms: -32 + 4 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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