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Simplifying z + 12 = 4z + -7 Reorder the terms: 12 + z = 4z + -7 Reorder the terms: 12 + z = -7 + 4z Solving 12 + z = -7 + 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. 12 + z + -4z = -7 + 4z + -4z Combine like terms: z + -4z = -3z 12 + -3z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + -3z = -7 + 0 12 + -3z = -7 Add '-12' to each side of the equation. 12 + -12 + -3z = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = -7 + -12 -3z = -7 + -12 Combine like terms: -7 + -12 = -19 -3z = -19 Divide each side by '-3'. z = 6.333333333 Simplifying z = 6.333333333
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