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Simplifying -10 = 3 + -1(6 + -1z) -10 = 3 + (6 * -1 + -1z * -1) -10 = 3 + (-6 + 1z) Combine like terms: 3 + -6 = -3 -10 = -3 + 1z Solving -10 = -3 + 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. -10 + -1z = -3 + 1z + -1z Combine like terms: 1z + -1z = 0 -10 + -1z = -3 + 0 -10 + -1z = -3 Add '10' to each side of the equation. -10 + 10 + -1z = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = -3 + 10 -1z = -3 + 10 Combine like terms: -3 + 10 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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