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Simplifying 10 + 2z + -18 = 3z + 3 + -6 Reorder the terms: 10 + -18 + 2z = 3z + 3 + -6 Combine like terms: 10 + -18 = -8 -8 + 2z = 3z + 3 + -6 Reorder the terms: -8 + 2z = 3 + -6 + 3z Combine like terms: 3 + -6 = -3 -8 + 2z = -3 + 3z Solving -8 + 2z = -3 + 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 + 2z + -3z = -3 + 3z + -3z Combine like terms: 2z + -3z = -1z -8 + -1z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + -1z = -3 + 0 -8 + -1z = -3 Add '8' to each side of the equation. -8 + 8 + -1z = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -3 + 8 -1z = -3 + 8 Combine like terms: -3 + 8 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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