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Simplifying 6(z + -7) = 7z + -4 Reorder the terms: 6(-7 + z) = 7z + -4 (-7 * 6 + z * 6) = 7z + -4 (-42 + 6z) = 7z + -4 Reorder the terms: -42 + 6z = -4 + 7z Solving -42 + 6z = -4 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -42 + 6z + -7z = -4 + 7z + -7z Combine like terms: 6z + -7z = -1z -42 + -1z = -4 + 7z + -7z Combine like terms: 7z + -7z = 0 -42 + -1z = -4 + 0 -42 + -1z = -4 Add '42' to each side of the equation. -42 + 42 + -1z = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -1z = -4 + 42 -1z = -4 + 42 Combine like terms: -4 + 42 = 38 -1z = 38 Divide each side by '-1'. z = -38 Simplifying z = -38
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