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Simplifying 4 + -3 + -7(z + 1) = 6z Reorder the terms: 4 + -3 + -7(1 + z) = 6z 4 + -3 + (1 * -7 + z * -7) = 6z 4 + -3 + (-7 + -7z) = 6z Combine like terms: 4 + -3 = 1 1 + -7 + -7z = 6z Combine like terms: 1 + -7 = -6 -6 + -7z = 6z Solving -6 + -7z = 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. -6 + -7z + -6z = 6z + -6z Combine like terms: -7z + -6z = -13z -6 + -13z = 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -13z = 0 Add '6' to each side of the equation. -6 + 6 + -13z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -13z = 0 + 6 -13z = 0 + 6 Combine like terms: 0 + 6 = 6 -13z = 6 Divide each side by '-13'. z = -0.4615384615 Simplifying z = -0.4615384615
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