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Simplifying 48 = -2(22 + -1z) + 4(z + -4) 48 = (22 * -2 + -1z * -2) + 4(z + -4) 48 = (-44 + 2z) + 4(z + -4) Reorder the terms: 48 = -44 + 2z + 4(-4 + z) 48 = -44 + 2z + (-4 * 4 + z * 4) 48 = -44 + 2z + (-16 + 4z) Reorder the terms: 48 = -44 + -16 + 2z + 4z Combine like terms: -44 + -16 = -60 48 = -60 + 2z + 4z Combine like terms: 2z + 4z = 6z 48 = -60 + 6z Solving 48 = -60 + 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. 48 + -6z = -60 + 6z + -6z Combine like terms: 6z + -6z = 0 48 + -6z = -60 + 0 48 + -6z = -60 Add '-48' to each side of the equation. 48 + -48 + -6z = -60 + -48 Combine like terms: 48 + -48 = 0 0 + -6z = -60 + -48 -6z = -60 + -48 Combine like terms: -60 + -48 = -108 -6z = -108 Divide each side by '-6'. z = 18 Simplifying z = 18
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