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Simplifying 7(z + -3) + 6Z + -4 = 0 Reorder the terms: 7(-3 + z) + 6Z + -4 = 0 (-3 * 7 + z * 7) + 6Z + -4 = 0 (-21 + 7z) + 6Z + -4 = 0 Reorder the terms: -21 + -4 + 6Z + 7z = 0 Combine like terms: -21 + -4 = -25 -25 + 6Z + 7z = 0 Solving -25 + 6Z + 7z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 6Z + 25 + 7z = 0 + 25 Reorder the terms: -25 + 25 + 6Z + 7z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6Z + 7z = 0 + 25 6Z + 7z = 0 + 25 Combine like terms: 0 + 25 = 25 6Z + 7z = 25 Add '-7z' to each side of the equation. 6Z + 7z + -7z = 25 + -7z Combine like terms: 7z + -7z = 0 6Z + 0 = 25 + -7z 6Z = 25 + -7z Divide each side by '6'. Z = 4.166666667 + -1.166666667z Simplifying Z = 4.166666667 + -1.166666667z
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