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Simplifying -10 = -7z + -1(-9z + 3) Reorder the terms: -10 = -7z + -1(3 + -9z) -10 = -7z + (3 * -1 + -9z * -1) -10 = -7z + (-3 + 9z) Reorder the terms: -10 = -3 + -7z + 9z Combine like terms: -7z + 9z = 2z -10 = -3 + 2z Solving -10 = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + -2z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -2z = -3 + 0 -10 + -2z = -3 Add '10' to each side of the equation. -10 + 10 + -2z = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -2z = -3 + 10 -2z = -3 + 10 Combine like terms: -3 + 10 = 7 -2z = 7 Divide each side by '-2'. z = -3.5 Simplifying z = -3.5
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