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Simplifying z + -8 = 3z + 10 Reorder the terms: -8 + z = 3z + 10 Reorder the terms: -8 + z = 10 + 3z Solving -8 + z = 10 + 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. -8 + z + -3z = 10 + 3z + -3z Combine like terms: z + -3z = -2z -8 + -2z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + -2z = 10 + 0 -8 + -2z = 10 Add '8' to each side of the equation. -8 + 8 + -2z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2z = 10 + 8 -2z = 10 + 8 Combine like terms: 10 + 8 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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