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Simplifying -21 + -5 + -3 + 15 = -13 + -4z + 9 + 5z Combine like terms: -21 + -5 = -26 -26 + -3 + 15 = -13 + -4z + 9 + 5z Combine like terms: -26 + -3 = -29 -29 + 15 = -13 + -4z + 9 + 5z Combine like terms: -29 + 15 = -14 -14 = -13 + -4z + 9 + 5z Reorder the terms: -14 = -13 + 9 + -4z + 5z Combine like terms: -13 + 9 = -4 -14 = -4 + -4z + 5z Combine like terms: -4z + 5z = 1z -14 = -4 + 1z Solving -14 = -4 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -14 + -1z = -4 + 1z + -1z Combine like terms: 1z + -1z = 0 -14 + -1z = -4 + 0 -14 + -1z = -4 Add '14' to each side of the equation. -14 + 14 + -1z = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -1z = -4 + 14 -1z = -4 + 14 Combine like terms: -4 + 14 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10
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