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Simplifying -2(z + -4) + -1(3z + -2) = -2 + -1(6z + -2) Reorder the terms: -2(-4 + z) + -1(3z + -2) = -2 + -1(6z + -2) (-4 * -2 + z * -2) + -1(3z + -2) = -2 + -1(6z + -2) (8 + -2z) + -1(3z + -2) = -2 + -1(6z + -2) Reorder the terms: 8 + -2z + -1(-2 + 3z) = -2 + -1(6z + -2) 8 + -2z + (-2 * -1 + 3z * -1) = -2 + -1(6z + -2) 8 + -2z + (2 + -3z) = -2 + -1(6z + -2) Reorder the terms: 8 + 2 + -2z + -3z = -2 + -1(6z + -2) Combine like terms: 8 + 2 = 10 10 + -2z + -3z = -2 + -1(6z + -2) Combine like terms: -2z + -3z = -5z 10 + -5z = -2 + -1(6z + -2) Reorder the terms: 10 + -5z = -2 + -1(-2 + 6z) 10 + -5z = -2 + (-2 * -1 + 6z * -1) 10 + -5z = -2 + (2 + -6z) Combine like terms: -2 + 2 = 0 10 + -5z = 0 + -6z 10 + -5z = -6z Solving 10 + -5z = -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. 10 + -5z + 6z = -6z + 6z Combine like terms: -5z + 6z = 1z 10 + 1z = -6z + 6z Combine like terms: -6z + 6z = 0 10 + 1z = 0 Add '-10' to each side of the equation. 10 + -10 + 1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 0 + -10 1z = 0 + -10 Combine like terms: 0 + -10 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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