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Simplifying -2 = 2(z + -5) + -6 Reorder the terms: -2 = 2(-5 + z) + -6 -2 = (-5 * 2 + z * 2) + -6 -2 = (-10 + 2z) + -6 Reorder the terms: -2 = -10 + -6 + 2z Combine like terms: -10 + -6 = -16 -2 = -16 + 2z Solving -2 = -16 + 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. -2 + -2z = -16 + 2z + -2z Combine like terms: 2z + -2z = 0 -2 + -2z = -16 + 0 -2 + -2z = -16 Add '2' to each side of the equation. -2 + 2 + -2z = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -2z = -16 + 2 -2z = -16 + 2 Combine like terms: -16 + 2 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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