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Simplifying -40 = 1(4 + -4z) -40 = (4 * 1 + -4z * 1) -40 = (4 + -4z) Solving -40 = 4 + -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. -40 + 4z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 -40 + 4z = 4 + 0 -40 + 4z = 4 Add '40' to each side of the equation. -40 + 40 + 4z = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 4z = 4 + 40 4z = 4 + 40 Combine like terms: 4 + 40 = 44 4z = 44 Divide each side by '4'. z = 11 Simplifying z = 11
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