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Simplifying -4(z + 3) = 1 + -3z Reorder the terms: -4(3 + z) = 1 + -3z (3 * -4 + z * -4) = 1 + -3z (-12 + -4z) = 1 + -3z Solving -12 + -4z = 1 + -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. -12 + -4z + 3z = 1 + -3z + 3z Combine like terms: -4z + 3z = -1z -12 + -1z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + -1z = 1 + 0 -12 + -1z = 1 Add '12' to each side of the equation. -12 + 12 + -1z = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 1 + 12 -1z = 1 + 12 Combine like terms: 1 + 12 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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