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Simplifying 4(z + -1) = 1(z + 3) Reorder the terms: 4(-1 + z) = 1(z + 3) (-1 * 4 + z * 4) = 1(z + 3) (-4 + 4z) = 1(z + 3) Reorder the terms: -4 + 4z = 1(3 + z) -4 + 4z = (3 * 1 + z * 1) -4 + 4z = (3 + 1z) Solving -4 + 4z = 3 + 1z 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. -4 + 4z + -1z = 3 + 1z + -1z Combine like terms: 4z + -1z = 3z -4 + 3z = 3 + 1z + -1z Combine like terms: 1z + -1z = 0 -4 + 3z = 3 + 0 -4 + 3z = 3 Add '4' to each side of the equation. -4 + 4 + 3z = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 3 + 4 3z = 3 + 4 Combine like terms: 3 + 4 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333
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