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Simplifying (7)(8) * z + -4 = -1(15)(16) * z + 1 Multiply 7 * 8 56z + -4 = -1(15)(16) * z + 1 Reorder the terms: -4 + 56z = -1(15)(16) * z + 1 Multiply -1 * 15 -4 + 56z = -15 * 16z + 1 Multiply -15 * 16 -4 + 56z = -240z + 1 Reorder the terms: -4 + 56z = 1 + -240z Solving -4 + 56z = 1 + -240z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '240z' to each side of the equation. -4 + 56z + 240z = 1 + -240z + 240z Combine like terms: 56z + 240z = 296z -4 + 296z = 1 + -240z + 240z Combine like terms: -240z + 240z = 0 -4 + 296z = 1 + 0 -4 + 296z = 1 Add '4' to each side of the equation. -4 + 4 + 296z = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 296z = 1 + 4 296z = 1 + 4 Combine like terms: 1 + 4 = 5 296z = 5 Divide each side by '296'. z = 0.01689189189 Simplifying z = 0.01689189189
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