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Simplifying -3(z + 7) + -1(5 + 4z) = -8z Reorder the terms: -3(7 + z) + -1(5 + 4z) = -8z (7 * -3 + z * -3) + -1(5 + 4z) = -8z (-21 + -3z) + -1(5 + 4z) = -8z -21 + -3z + (5 * -1 + 4z * -1) = -8z -21 + -3z + (-5 + -4z) = -8z Reorder the terms: -21 + -5 + -3z + -4z = -8z Combine like terms: -21 + -5 = -26 -26 + -3z + -4z = -8z Combine like terms: -3z + -4z = -7z -26 + -7z = -8z Solving -26 + -7z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -26 + -7z + 8z = -8z + 8z Combine like terms: -7z + 8z = 1z -26 + 1z = -8z + 8z Combine like terms: -8z + 8z = 0 -26 + 1z = 0 Add '26' to each side of the equation. -26 + 26 + 1z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1z = 0 + 26 1z = 0 + 26 Combine like terms: 0 + 26 = 26 1z = 26 Divide each side by '1'. z = 26 Simplifying z = 26
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