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Simplifying (z + -10) + -1(10z + 6) = 2(-8 + -2z) Reorder the terms: (-10 + z) + -1(10z + 6) = 2(-8 + -2z) Remove parenthesis around (-10 + z) -10 + z + -1(10z + 6) = 2(-8 + -2z) Reorder the terms: -10 + z + -1(6 + 10z) = 2(-8 + -2z) -10 + z + (6 * -1 + 10z * -1) = 2(-8 + -2z) -10 + z + (-6 + -10z) = 2(-8 + -2z) Reorder the terms: -10 + -6 + z + -10z = 2(-8 + -2z) Combine like terms: -10 + -6 = -16 -16 + z + -10z = 2(-8 + -2z) Combine like terms: z + -10z = -9z -16 + -9z = 2(-8 + -2z) -16 + -9z = (-8 * 2 + -2z * 2) -16 + -9z = (-16 + -4z) Add '16' to each side of the equation. -16 + 16 + -9z = -16 + 16 + -4z Combine like terms: -16 + 16 = 0 0 + -9z = -16 + 16 + -4z -9z = -16 + 16 + -4z Combine like terms: -16 + 16 = 0 -9z = 0 + -4z -9z = -4z Solving -9z = -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. -9z + 4z = -4z + 4z Combine like terms: -9z + 4z = -5z -5z = -4z + 4z Combine like terms: -4z + 4z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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