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Simplifying -40 = -4(-1z + 7) Reorder the terms: -40 = -4(7 + -1z) -40 = (7 * -4 + -1z * -4) -40 = (-28 + 4z) Solving -40 = -28 + 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 = -28 + 4z + -4z Combine like terms: 4z + -4z = 0 -40 + -4z = -28 + 0 -40 + -4z = -28 Add '40' to each side of the equation. -40 + 40 + -4z = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -4z = -28 + 40 -4z = -28 + 40 Combine like terms: -28 + 40 = 12 -4z = 12 Divide each side by '-4'. z = -3 Simplifying z = -3
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