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Simplifying 5 + -1[3 + -1(2z + 5) + -7] = z + 15 Reorder the terms: 5 + -1[3 + -1(5 + 2z) + -7] = z + 15 5 + -1[3 + (5 * -1 + 2z * -1) + -7] = z + 15 5 + -1[3 + (-5 + -2z) + -7] = z + 15 Reorder the terms: 5 + -1[3 + -5 + -7 + -2z] = z + 15 Combine like terms: 3 + -5 = -2 5 + -1[-2 + -7 + -2z] = z + 15 Combine like terms: -2 + -7 = -9 5 + -1[-9 + -2z] = z + 15 5 + [-9 * -1 + -2z * -1] = z + 15 5 + [9 + 2z] = z + 15 Combine like terms: 5 + 9 = 14 14 + 2z = z + 15 Reorder the terms: 14 + 2z = 15 + z Solving 14 + 2z = 15 + z 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 + 2z + -1z = 15 + z + -1z Combine like terms: 2z + -1z = 1z 14 + 1z = 15 + z + -1z Combine like terms: z + -1z = 0 14 + 1z = 15 + 0 14 + 1z = 15 Add '-14' to each side of the equation. 14 + -14 + 1z = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 15 + -14 1z = 15 + -14 Combine like terms: 15 + -14 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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