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Simplifying -15 + -21z = 25 + (23z + -8) + (5z + -21) Reorder the terms: -15 + -21z = 25 + (-8 + 23z) + (5z + -21) Remove parenthesis around (-8 + 23z) -15 + -21z = 25 + -8 + 23z + (5z + -21) Reorder the terms: -15 + -21z = 25 + -8 + 23z + (-21 + 5z) Remove parenthesis around (-21 + 5z) -15 + -21z = 25 + -8 + 23z + -21 + 5z Reorder the terms: -15 + -21z = 25 + -8 + -21 + 23z + 5z Combine like terms: 25 + -8 = 17 -15 + -21z = 17 + -21 + 23z + 5z Combine like terms: 17 + -21 = -4 -15 + -21z = -4 + 23z + 5z Combine like terms: 23z + 5z = 28z -15 + -21z = -4 + 28z Solving -15 + -21z = -4 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -15 + -21z + -28z = -4 + 28z + -28z Combine like terms: -21z + -28z = -49z -15 + -49z = -4 + 28z + -28z Combine like terms: 28z + -28z = 0 -15 + -49z = -4 + 0 -15 + -49z = -4 Add '15' to each side of the equation. -15 + 15 + -49z = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -49z = -4 + 15 -49z = -4 + 15 Combine like terms: -4 + 15 = 11 -49z = 11 Divide each side by '-49'. z = -0.2244897959 Simplifying z = -0.2244897959
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