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Simplifying -16 = -4(z + -13) Reorder the terms: -16 = -4(-13 + z) -16 = (-13 * -4 + z * -4) -16 = (52 + -4z) Solving -16 = 52 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -16 + 4z = 52 + -4z + 4z Combine like terms: -4z + 4z = 0 -16 + 4z = 52 + 0 -16 + 4z = 52 Add '16' to each side of the equation. -16 + 16 + 4z = 52 + 16 Combine like terms: -16 + 16 = 0 0 + 4z = 52 + 16 4z = 52 + 16 Combine like terms: 52 + 16 = 68 4z = 68 Divide each side by '4'. z = 17 Simplifying z = 17
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