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Simplifying -7(z + 3) = -6z + -5 Reorder the terms: -7(3 + z) = -6z + -5 (3 * -7 + z * -7) = -6z + -5 (-21 + -7z) = -6z + -5 Reorder the terms: -21 + -7z = -5 + -6z Solving -21 + -7z = -5 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -21 + -7z + 6z = -5 + -6z + 6z Combine like terms: -7z + 6z = -1z -21 + -1z = -5 + -6z + 6z Combine like terms: -6z + 6z = 0 -21 + -1z = -5 + 0 -21 + -1z = -5 Add '21' to each side of the equation. -21 + 21 + -1z = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -1z = -5 + 21 -1z = -5 + 21 Combine like terms: -5 + 21 = 16 -1z = 16 Divide each side by '-1'. z = -16 Simplifying z = -16
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