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Simplifying 42 + -1(z + 6) = 3z + -4 Reorder the terms: 42 + -1(6 + z) = 3z + -4 42 + (6 * -1 + z * -1) = 3z + -4 42 + (-6 + -1z) = 3z + -4 Combine like terms: 42 + -6 = 36 36 + -1z = 3z + -4 Reorder the terms: 36 + -1z = -4 + 3z Solving 36 + -1z = -4 + 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. 36 + -1z + -3z = -4 + 3z + -3z Combine like terms: -1z + -3z = -4z 36 + -4z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 36 + -4z = -4 + 0 36 + -4z = -4 Add '-36' to each side of the equation. 36 + -36 + -4z = -4 + -36 Combine like terms: 36 + -36 = 0 0 + -4z = -4 + -36 -4z = -4 + -36 Combine like terms: -4 + -36 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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