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Simplifying -5[3 + -1z] = z + 1 [3 * -5 + -1z * -5] = z + 1 [-15 + 5z] = z + 1 Reorder the terms: -15 + 5z = 1 + z Solving -15 + 5z = 1 + 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. -15 + 5z + -1z = 1 + z + -1z Combine like terms: 5z + -1z = 4z -15 + 4z = 1 + z + -1z Combine like terms: z + -1z = 0 -15 + 4z = 1 + 0 -15 + 4z = 1 Add '15' to each side of the equation. -15 + 15 + 4z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4z = 1 + 15 4z = 1 + 15 Combine like terms: 1 + 15 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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