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Simplifying -5 + -1(15z + -1) = 2(7z + -16) + -1z Reorder the terms: -5 + -1(-1 + 15z) = 2(7z + -16) + -1z -5 + (-1 * -1 + 15z * -1) = 2(7z + -16) + -1z -5 + (1 + -15z) = 2(7z + -16) + -1z Combine like terms: -5 + 1 = -4 -4 + -15z = 2(7z + -16) + -1z Reorder the terms: -4 + -15z = 2(-16 + 7z) + -1z -4 + -15z = (-16 * 2 + 7z * 2) + -1z -4 + -15z = (-32 + 14z) + -1z Combine like terms: 14z + -1z = 13z -4 + -15z = -32 + 13z Solving -4 + -15z = -32 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -4 + -15z + -13z = -32 + 13z + -13z Combine like terms: -15z + -13z = -28z -4 + -28z = -32 + 13z + -13z Combine like terms: 13z + -13z = 0 -4 + -28z = -32 + 0 -4 + -28z = -32 Add '4' to each side of the equation. -4 + 4 + -28z = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28z = -32 + 4 -28z = -32 + 4 Combine like terms: -32 + 4 = -28 -28z = -28 Divide each side by '-28'. z = 1 Simplifying z = 1
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