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Simplifying -5(4z + -3) = 21 + -7z Reorder the terms: -5(-3 + 4z) = 21 + -7z (-3 * -5 + 4z * -5) = 21 + -7z (15 + -20z) = 21 + -7z Solving 15 + -20z = 21 + -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. 15 + -20z + 7z = 21 + -7z + 7z Combine like terms: -20z + 7z = -13z 15 + -13z = 21 + -7z + 7z Combine like terms: -7z + 7z = 0 15 + -13z = 21 + 0 15 + -13z = 21 Add '-15' to each side of the equation. 15 + -15 + -13z = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -13z = 21 + -15 -13z = 21 + -15 Combine like terms: 21 + -15 = 6 -13z = 6 Divide each side by '-13'. z = -0.4615384615 Simplifying z = -0.4615384615
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