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Simplifying 7(z + -3) + -1(2 + 8z) = -22 Reorder the terms: 7(-3 + z) + -1(2 + 8z) = -22 (-3 * 7 + z * 7) + -1(2 + 8z) = -22 (-21 + 7z) + -1(2 + 8z) = -22 -21 + 7z + (2 * -1 + 8z * -1) = -22 -21 + 7z + (-2 + -8z) = -22 Reorder the terms: -21 + -2 + 7z + -8z = -22 Combine like terms: -21 + -2 = -23 -23 + 7z + -8z = -22 Combine like terms: 7z + -8z = -1z -23 + -1z = -22 Solving -23 + -1z = -22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1z = -22 + 23 Combine like terms: -23 + 23 = 0 0 + -1z = -22 + 23 -1z = -22 + 23 Combine like terms: -22 + 23 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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