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Simplifying -2(5 + -1(2z + 1)) + -4 = 2(3 + -1z) Reorder the terms: -2(5 + -1(1 + 2z)) + -4 = 2(3 + -1z) -2(5 + (1 * -1 + 2z * -1)) + -4 = 2(3 + -1z) -2(5 + (-1 + -2z)) + -4 = 2(3 + -1z) Combine like terms: 5 + -1 = 4 -2(4 + -2z) + -4 = 2(3 + -1z) (4 * -2 + -2z * -2) + -4 = 2(3 + -1z) (-8 + 4z) + -4 = 2(3 + -1z) Reorder the terms: -8 + -4 + 4z = 2(3 + -1z) Combine like terms: -8 + -4 = -12 -12 + 4z = 2(3 + -1z) -12 + 4z = (3 * 2 + -1z * 2) -12 + 4z = (6 + -2z) Solving -12 + 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. -12 + 4z + 2z = 6 + -2z + 2z Combine like terms: 4z + 2z = 6z -12 + 6z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 6z = 6 + 0 -12 + 6z = 6 Add '12' to each side of the equation. -12 + 12 + 6z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6z = 6 + 12 6z = 6 + 12 Combine like terms: 6 + 12 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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