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Simplifying -2[5 + -1(z + 1)] + -4 = 2(3 + -1z) Reorder the terms: -2[5 + -1(1 + z)] + -4 = 2(3 + -1z) -2[5 + (1 * -1 + z * -1)] + -4 = 2(3 + -1z) -2[5 + (-1 + -1z)] + -4 = 2(3 + -1z) Combine like terms: 5 + -1 = 4 -2[4 + -1z] + -4 = 2(3 + -1z) [4 * -2 + -1z * -2] + -4 = 2(3 + -1z) [-8 + 2z] + -4 = 2(3 + -1z) Reorder the terms: -8 + -4 + 2z = 2(3 + -1z) Combine like terms: -8 + -4 = -12 -12 + 2z = 2(3 + -1z) -12 + 2z = (3 * 2 + -1z * 2) -12 + 2z = (6 + -2z) Solving -12 + 2z = 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 + 2z + 2z = 6 + -2z + 2z Combine like terms: 2z + 2z = 4z -12 + 4z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 -12 + 4z = 6 + 0 -12 + 4z = 6 Add '12' to each side of the equation. -12 + 12 + 4z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 4z = 6 + 12 4z = 6 + 12 Combine like terms: 6 + 12 = 18 4z = 18 Divide each side by '4'. z = 4.5 Simplifying z = 4.5
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