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Simplifying -7 = 5 + -1(6 + -1z) -7 = 5 + (6 * -1 + -1z * -1) -7 = 5 + (-6 + 1z) Combine like terms: 5 + -6 = -1 -7 = -1 + 1z Solving -7 = -1 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -7 + -1z = -1 + 1z + -1z Combine like terms: 1z + -1z = 0 -7 + -1z = -1 + 0 -7 + -1z = -1 Add '7' to each side of the equation. -7 + 7 + -1z = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -1z = -1 + 7 -1z = -1 + 7 Combine like terms: -1 + 7 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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