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