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Simplifying 22 + -5(z + 2) = -8 + -2z Reorder the terms: 22 + -5(2 + z) = -8 + -2z 22 + (2 * -5 + z * -5) = -8 + -2z 22 + (-10 + -5z) = -8 + -2z Combine like terms: 22 + -10 = 12 12 + -5z = -8 + -2z Solving 12 + -5z = -8 + -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. 12 + -5z + 2z = -8 + -2z + 2z Combine like terms: -5z + 2z = -3z 12 + -3z = -8 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + -3z = -8 + 0 12 + -3z = -8 Add '-12' to each side of the equation. 12 + -12 + -3z = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = -8 + -12 -3z = -8 + -12 Combine like terms: -8 + -12 = -20 -3z = -20 Divide each side by '-3'. z = 6.666666667 Simplifying z = 6.666666667
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