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Simplifying -10(z + 1) = 2(z + 7) Reorder the terms: -10(1 + z) = 2(z + 7) (1 * -10 + z * -10) = 2(z + 7) (-10 + -10z) = 2(z + 7) Reorder the terms: -10 + -10z = 2(7 + z) -10 + -10z = (7 * 2 + z * 2) -10 + -10z = (14 + 2z) Solving -10 + -10z = 14 + 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 + -10z + -2z = 14 + 2z + -2z Combine like terms: -10z + -2z = -12z -10 + -12z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -12z = 14 + 0 -10 + -12z = 14 Add '10' to each side of the equation. -10 + 10 + -12z = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -12z = 14 + 10 -12z = 14 + 10 Combine like terms: 14 + 10 = 24 -12z = 24 Divide each side by '-12'. z = -2 Simplifying z = -2
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