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Simplifying -7(z + 6) + -1(6z + -9) = -14z Reorder the terms: -7(6 + z) + -1(6z + -9) = -14z (6 * -7 + z * -7) + -1(6z + -9) = -14z (-42 + -7z) + -1(6z + -9) = -14z Reorder the terms: -42 + -7z + -1(-9 + 6z) = -14z -42 + -7z + (-9 * -1 + 6z * -1) = -14z -42 + -7z + (9 + -6z) = -14z Reorder the terms: -42 + 9 + -7z + -6z = -14z Combine like terms: -42 + 9 = -33 -33 + -7z + -6z = -14z Combine like terms: -7z + -6z = -13z -33 + -13z = -14z Solving -33 + -13z = -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -33 + -13z + 14z = -14z + 14z Combine like terms: -13z + 14z = 1z -33 + 1z = -14z + 14z Combine like terms: -14z + 14z = 0 -33 + 1z = 0 Add '33' to each side of the equation. -33 + 33 + 1z = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1z = 0 + 33 1z = 0 + 33 Combine like terms: 0 + 33 = 33 1z = 33 Divide each side by '1'. z = 33 Simplifying z = 33
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