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Simplifying -2(z + -4) + -4(3z + -2) = -2 + -1(6z + -2) Reorder the terms: -2(-4 + z) + -4(3z + -2) = -2 + -1(6z + -2) (-4 * -2 + z * -2) + -4(3z + -2) = -2 + -1(6z + -2) (8 + -2z) + -4(3z + -2) = -2 + -1(6z + -2) Reorder the terms: 8 + -2z + -4(-2 + 3z) = -2 + -1(6z + -2) 8 + -2z + (-2 * -4 + 3z * -4) = -2 + -1(6z + -2) 8 + -2z + (8 + -12z) = -2 + -1(6z + -2) Reorder the terms: 8 + 8 + -2z + -12z = -2 + -1(6z + -2) Combine like terms: 8 + 8 = 16 16 + -2z + -12z = -2 + -1(6z + -2) Combine like terms: -2z + -12z = -14z 16 + -14z = -2 + -1(6z + -2) Reorder the terms: 16 + -14z = -2 + -1(-2 + 6z) 16 + -14z = -2 + (-2 * -1 + 6z * -1) 16 + -14z = -2 + (2 + -6z) Combine like terms: -2 + 2 = 0 16 + -14z = 0 + -6z 16 + -14z = -6z Solving 16 + -14z = -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. 16 + -14z + 6z = -6z + 6z Combine like terms: -14z + 6z = -8z 16 + -8z = -6z + 6z Combine like terms: -6z + 6z = 0 16 + -8z = 0 Add '-16' to each side of the equation. 16 + -16 + -8z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8z = 0 + -16 -8z = 0 + -16 Combine like terms: 0 + -16 = -16 -8z = -16 Divide each side by '-8'. z = 2 Simplifying z = 2
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