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