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Simplifying -2(z + -4) + -1(3z + -1z) = -2 + -1(6z + -2) Reorder the terms: -2(-4 + z) + -1(3z + -1z) = -2 + -1(6z + -2) (-4 * -2 + z * -2) + -1(3z + -1z) = -2 + -1(6z + -2) (8 + -2z) + -1(3z + -1z) = -2 + -1(6z + -2) Combine like terms: 3z + -1z = 2z 8 + -2z + -1(2z) = -2 + -1(6z + -2) Remove parenthesis around (2z) 8 + -2z + -1 * 2z = -2 + -1(6z + -2) Multiply -1 * 2 8 + -2z + -2z = -2 + -1(6z + -2) Combine like terms: -2z + -2z = -4z 8 + -4z = -2 + -1(6z + -2) Reorder the terms: 8 + -4z = -2 + -1(-2 + 6z) 8 + -4z = -2 + (-2 * -1 + 6z * -1) 8 + -4z = -2 + (2 + -6z) Combine like terms: -2 + 2 = 0 8 + -4z = 0 + -6z 8 + -4z = -6z Solving 8 + -4z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 8 + -4z + 6z = -6z + 6z Combine like terms: -4z + 6z = 2z 8 + 2z = -6z + 6z Combine like terms: -6z + 6z = 0 8 + 2z = 0 Add '-8' to each side of the equation. 8 + -8 + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 0 + -8 2z = 0 + -8 Combine like terms: 0 + -8 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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