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Simplifying -2(5 + -2z + 1) + -4 = 2(3 + -1z) Reorder the terms: -2(5 + 1 + -2z) + -4 = 2(3 + -1z) Combine like terms: 5 + 1 = 6 -2(6 + -2z) + -4 = 2(3 + -1z) (6 * -2 + -2z * -2) + -4 = 2(3 + -1z) (-12 + 4z) + -4 = 2(3 + -1z) Reorder the terms: -12 + -4 + 4z = 2(3 + -1z) Combine like terms: -12 + -4 = -16 -16 + 4z = 2(3 + -1z) -16 + 4z = (3 * 2 + -1z * 2) -16 + 4z = (6 + -2z) Solving -16 + 4z = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -16 + 4z + 2z = 6 + -2z + 2z Combine like terms: 4z + 2z = 6z -16 + 6z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 -16 + 6z = 6 + 0 -16 + 6z = 6 Add '16' to each side of the equation. -16 + 16 + 6z = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 6z = 6 + 16 6z = 6 + 16 Combine like terms: 6 + 16 = 22 6z = 22 Divide each side by '6'. z = 3.666666667 Simplifying z = 3.666666667
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