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Simplifying 7(z + -3) + -1(2 + 8z) = -2z Reorder the terms: 7(-3 + z) + -1(2 + 8z) = -2z (-3 * 7 + z * 7) + -1(2 + 8z) = -2z (-21 + 7z) + -1(2 + 8z) = -2z -21 + 7z + (2 * -1 + 8z * -1) = -2z -21 + 7z + (-2 + -8z) = -2z Reorder the terms: -21 + -2 + 7z + -8z = -2z Combine like terms: -21 + -2 = -23 -23 + 7z + -8z = -2z Combine like terms: 7z + -8z = -1z -23 + -1z = -2z Solving -23 + -1z = -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. -23 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z -23 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 -23 + 1z = 0 Add '23' to each side of the equation. -23 + 23 + 1z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1z = 0 + 23 1z = 0 + 23 Combine like terms: 0 + 23 = 23 1z = 23 Divide each side by '1'. z = 23 Simplifying z = 23
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