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Simplifying -7(z + -8) = -6z + -3 Reorder the terms: -7(-8 + z) = -6z + -3 (-8 * -7 + z * -7) = -6z + -3 (56 + -7z) = -6z + -3 Reorder the terms: 56 + -7z = -3 + -6z Solving 56 + -7z = -3 + -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. 56 + -7z + 6z = -3 + -6z + 6z Combine like terms: -7z + 6z = -1z 56 + -1z = -3 + -6z + 6z Combine like terms: -6z + 6z = 0 56 + -1z = -3 + 0 56 + -1z = -3 Add '-56' to each side of the equation. 56 + -56 + -1z = -3 + -56 Combine like terms: 56 + -56 = 0 0 + -1z = -3 + -56 -1z = -3 + -56 Combine like terms: -3 + -56 = -59 -1z = -59 Divide each side by '-1'. z = 59 Simplifying z = 59
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