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Simplifying -2z + -8 + z = 10 + -1(6 + -2z) Reorder the terms: -8 + -2z + z = 10 + -1(6 + -2z) Combine like terms: -2z + z = -1z -8 + -1z = 10 + -1(6 + -2z) -8 + -1z = 10 + (6 * -1 + -2z * -1) -8 + -1z = 10 + (-6 + 2z) Combine like terms: 10 + -6 = 4 -8 + -1z = 4 + 2z Solving -8 + -1z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -8 + -1z + -2z = 4 + 2z + -2z Combine like terms: -1z + -2z = -3z -8 + -3z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + -3z = 4 + 0 -8 + -3z = 4 Add '8' to each side of the equation. -8 + 8 + -3z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -3z = 4 + 8 -3z = 4 + 8 Combine like terms: 4 + 8 = 12 -3z = 12 Divide each side by '-3'. z = -4 Simplifying z = -4
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