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Simplifying (-2 + z) + (-7 + (-3z)) + 2 = 6 Remove parenthesis around (-2 + z) -2 + z + (-7 + (-3z)) + 2 = 6 Remove parenthesis around (-7 + (-3z)) -2 + z + -7 + (-3z) + 2 = 6 Reorder the terms: -2 + -7 + 2 + z + (-3z) = 6 Combine like terms: -2 + -7 = -9 -9 + 2 + z + (-3z) = 6 Combine like terms: -9 + 2 = -7 -7 + z + (-3z) = 6 Combine like terms: z + (-3z) = -2z -7 + -2z = 6 Solving -7 + -2z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2z = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 6 + 7 -2z = 6 + 7 Combine like terms: 6 + 7 = 13 -2z = 13 Divide each side by '-2'. z = -6.5 Simplifying z = -6.5
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