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Simplifying 6z + -9 + 2z = 7(z + -2) + -4 Reorder the terms: -9 + 6z + 2z = 7(z + -2) + -4 Combine like terms: 6z + 2z = 8z -9 + 8z = 7(z + -2) + -4 Reorder the terms: -9 + 8z = 7(-2 + z) + -4 -9 + 8z = (-2 * 7 + z * 7) + -4 -9 + 8z = (-14 + 7z) + -4 Reorder the terms: -9 + 8z = -14 + -4 + 7z Combine like terms: -14 + -4 = -18 -9 + 8z = -18 + 7z Solving -9 + 8z = -18 + 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. -9 + 8z + -7z = -18 + 7z + -7z Combine like terms: 8z + -7z = 1z -9 + 1z = -18 + 7z + -7z Combine like terms: 7z + -7z = 0 -9 + 1z = -18 + 0 -9 + 1z = -18 Add '9' to each side of the equation. -9 + 9 + 1z = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 1z = -18 + 9 1z = -18 + 9 Combine like terms: -18 + 9 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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