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Simplifying 4(z + -4) + -1z = 4z + -20 Reorder the terms: 4(-4 + z) + -1z = 4z + -20 (-4 * 4 + z * 4) + -1z = 4z + -20 (-16 + 4z) + -1z = 4z + -20 Combine like terms: 4z + -1z = 3z -16 + 3z = 4z + -20 Reorder the terms: -16 + 3z = -20 + 4z Solving -16 + 3z = -20 + 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. -16 + 3z + -4z = -20 + 4z + -4z Combine like terms: 3z + -4z = -1z -16 + -1z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -16 + -1z = -20 + 0 -16 + -1z = -20 Add '16' to each side of the equation. -16 + 16 + -1z = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -1z = -20 + 16 -1z = -20 + 16 Combine like terms: -20 + 16 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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