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Simplifying 26 + 2z = -9(6z + 8) Reorder the terms: 26 + 2z = -9(8 + 6z) 26 + 2z = (8 * -9 + 6z * -9) 26 + 2z = (-72 + -54z) Solving 26 + 2z = -72 + -54z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '54z' to each side of the equation. 26 + 2z + 54z = -72 + -54z + 54z Combine like terms: 2z + 54z = 56z 26 + 56z = -72 + -54z + 54z Combine like terms: -54z + 54z = 0 26 + 56z = -72 + 0 26 + 56z = -72 Add '-26' to each side of the equation. 26 + -26 + 56z = -72 + -26 Combine like terms: 26 + -26 = 0 0 + 56z = -72 + -26 56z = -72 + -26 Combine like terms: -72 + -26 = -98 56z = -98 Divide each side by '56'. z = -1.75 Simplifying z = -1.75
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