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Simplifying -7(z + 4) + -1(-4z + -6) = -4z Reorder the terms: -7(4 + z) + -1(-4z + -6) = -4z (4 * -7 + z * -7) + -1(-4z + -6) = -4z (-28 + -7z) + -1(-4z + -6) = -4z Reorder the terms: -28 + -7z + -1(-6 + -4z) = -4z -28 + -7z + (-6 * -1 + -4z * -1) = -4z -28 + -7z + (6 + 4z) = -4z Reorder the terms: -28 + 6 + -7z + 4z = -4z Combine like terms: -28 + 6 = -22 -22 + -7z + 4z = -4z Combine like terms: -7z + 4z = -3z -22 + -3z = -4z Solving -22 + -3z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -22 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z -22 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 -22 + 1z = 0 Add '22' to each side of the equation. -22 + 22 + 1z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1z = 0 + 22 1z = 0 + 22 Combine like terms: 0 + 22 = 22 1z = 22 Divide each side by '1'. z = 22 Simplifying z = 22
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