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Simplifying -16 + z = 12 + 3z Solving -16 + z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -16 + z + -3z = 12 + 3z + -3z Combine like terms: z + -3z = -2z -16 + -2z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + -2z = 12 + 0 -16 + -2z = 12 Add '16' to each side of the equation. -16 + 16 + -2z = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -2z = 12 + 16 -2z = 12 + 16 Combine like terms: 12 + 16 = 28 -2z = 28 Divide each side by '-2'. z = -14 Simplifying z = -14
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