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Simplifying -2 = 3(z + -2) + -4 + -1z Reorder the terms: -2 = 3(-2 + z) + -4 + -1z -2 = (-2 * 3 + z * 3) + -4 + -1z -2 = (-6 + 3z) + -4 + -1z Reorder the terms: -2 = -6 + -4 + 3z + -1z Combine like terms: -6 + -4 = -10 -2 = -10 + 3z + -1z Combine like terms: 3z + -1z = 2z -2 = -10 + 2z Solving -2 = -10 + 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 = -10 + 2z + -2z Combine like terms: 2z + -2z = 0 -2 + -2z = -10 + 0 -2 + -2z = -10 Add '2' to each side of the equation. -2 + 2 + -2z = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2z = -10 + 2 -2z = -10 + 2 Combine like terms: -10 + 2 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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