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Simplifying 1 + -4(3z + -2) + -2(7 + -1z) = 0 Reorder the terms: 1 + -4(-2 + 3z) + -2(7 + -1z) = 0 1 + (-2 * -4 + 3z * -4) + -2(7 + -1z) = 0 1 + (8 + -12z) + -2(7 + -1z) = 0 1 + 8 + -12z + (7 * -2 + -1z * -2) = 0 1 + 8 + -12z + (-14 + 2z) = 0 Reorder the terms: 1 + 8 + -14 + -12z + 2z = 0 Combine like terms: 1 + 8 = 9 9 + -14 + -12z + 2z = 0 Combine like terms: 9 + -14 = -5 -5 + -12z + 2z = 0 Combine like terms: -12z + 2z = -10z -5 + -10z = 0 Solving -5 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -10z = 0 + 5 -10z = 0 + 5 Combine like terms: 0 + 5 = 5 -10z = 5 Divide each side by '-10'. z = -0.5 Simplifying z = -0.5
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