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Simplifying -12z + 12 + 12z = z + -7 Reorder the terms: 12 + -12z + 12z = z + -7 Combine like terms: -12z + 12z = 0 12 + 0 = z + -7 12 = z + -7 Reorder the terms: 12 = -7 + z Solving 12 = -7 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12 + -1z = -7 + z + -1z Combine like terms: z + -1z = 0 12 + -1z = -7 + 0 12 + -1z = -7 Add '-12' to each side of the equation. 12 + -12 + -1z = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -7 + -12 -1z = -7 + -12 Combine like terms: -7 + -12 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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