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Simplifying -4(1 + -5z) + 3z = 2z + 17 (1 * -4 + -5z * -4) + 3z = 2z + 17 (-4 + 20z) + 3z = 2z + 17 Combine like terms: 20z + 3z = 23z -4 + 23z = 2z + 17 Reorder the terms: -4 + 23z = 17 + 2z Solving -4 + 23z = 17 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -4 + 23z + -2z = 17 + 2z + -2z Combine like terms: 23z + -2z = 21z -4 + 21z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + 21z = 17 + 0 -4 + 21z = 17 Add '4' to each side of the equation. -4 + 4 + 21z = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 21z = 17 + 4 21z = 17 + 4 Combine like terms: 17 + 4 = 21 21z = 21 Divide each side by '21'. z = 1 Simplifying z = 1
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