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Simplifying 4z + -12 = 13z + 78 Reorder the terms: -12 + 4z = 13z + 78 Reorder the terms: -12 + 4z = 78 + 13z Solving -12 + 4z = 78 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -12 + 4z + -13z = 78 + 13z + -13z Combine like terms: 4z + -13z = -9z -12 + -9z = 78 + 13z + -13z Combine like terms: 13z + -13z = 0 -12 + -9z = 78 + 0 -12 + -9z = 78 Add '12' to each side of the equation. -12 + 12 + -9z = 78 + 12 Combine like terms: -12 + 12 = 0 0 + -9z = 78 + 12 -9z = 78 + 12 Combine like terms: 78 + 12 = 90 -9z = 90 Divide each side by '-9'. z = -10 Simplifying z = -10
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