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