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Simplifying 30 + -15z = 4z + -65 Reorder the terms: 30 + -15z = -65 + 4z Solving 30 + -15z = -65 + 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. 30 + -15z + -4z = -65 + 4z + -4z Combine like terms: -15z + -4z = -19z 30 + -19z = -65 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -19z = -65 + 0 30 + -19z = -65 Add '-30' to each side of the equation. 30 + -30 + -19z = -65 + -30 Combine like terms: 30 + -30 = 0 0 + -19z = -65 + -30 -19z = -65 + -30 Combine like terms: -65 + -30 = -95 -19z = -95 Divide each side by '-19'. z = 5 Simplifying z = 5
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