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Simplifying -2(z + -4) + -32 + -2 = -2 + -1(6z + -2) Reorder the terms: -2(-4 + z) + -32 + -2 = -2 + -1(6z + -2) (-4 * -2 + z * -2) + -32 + -2 = -2 + -1(6z + -2) (8 + -2z) + -32 + -2 = -2 + -1(6z + -2) Reorder the terms: 8 + -32 + -2 + -2z = -2 + -1(6z + -2) Combine like terms: 8 + -32 = -24 -24 + -2 + -2z = -2 + -1(6z + -2) Combine like terms: -24 + -2 = -26 -26 + -2z = -2 + -1(6z + -2) Reorder the terms: -26 + -2z = -2 + -1(-2 + 6z) -26 + -2z = -2 + (-2 * -1 + 6z * -1) -26 + -2z = -2 + (2 + -6z) Combine like terms: -2 + 2 = 0 -26 + -2z = 0 + -6z -26 + -2z = -6z Solving -26 + -2z = -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. -26 + -2z + 6z = -6z + 6z Combine like terms: -2z + 6z = 4z -26 + 4z = -6z + 6z Combine like terms: -6z + 6z = 0 -26 + 4z = 0 Add '26' to each side of the equation. -26 + 26 + 4z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 4z = 0 + 26 4z = 0 + 26 Combine like terms: 0 + 26 = 26 4z = 26 Divide each side by '4'. z = 6.5 Simplifying z = 6.5
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