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Simplifying -3(1) + 2(-2) + -2z = 1 Multiply -3 * 1 -3 + 2(-2) + -2z = 1 Multiply 2 * -2 -3 + -4 + -2z = 1 Combine like terms: -3 + -4 = -7 -7 + -2z = 1 Solving -7 + -2z = 1 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 = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 1 + 7 -2z = 1 + 7 Combine like terms: 1 + 7 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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