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Simplifying -21 = 8 + 2(z + -3) Reorder the terms: -21 = 8 + 2(-3 + z) -21 = 8 + (-3 * 2 + z * 2) -21 = 8 + (-6 + 2z) Combine like terms: 8 + -6 = 2 -21 = 2 + 2z Solving -21 = 2 + 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. -21 + -2z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -21 + -2z = 2 + 0 -21 + -2z = 2 Add '21' to each side of the equation. -21 + 21 + -2z = 2 + 21 Combine like terms: -21 + 21 = 0 0 + -2z = 2 + 21 -2z = 2 + 21 Combine like terms: 2 + 21 = 23 -2z = 23 Divide each side by '-2'. z = -11.5 Simplifying z = -11.5
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