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Simplifying 4 + -4(z + 4) = (4z + -7) + -5 Reorder the terms: 4 + -4(4 + z) = (4z + -7) + -5 4 + (4 * -4 + z * -4) = (4z + -7) + -5 4 + (-16 + -4z) = (4z + -7) + -5 Combine like terms: 4 + -16 = -12 -12 + -4z = (4z + -7) + -5 Reorder the terms: -12 + -4z = (-7 + 4z) + -5 Remove parenthesis around (-7 + 4z) -12 + -4z = -7 + 4z + -5 Reorder the terms: -12 + -4z = -7 + -5 + 4z Combine like terms: -7 + -5 = -12 -12 + -4z = -12 + 4z Add '12' to each side of the equation. -12 + 12 + -4z = -12 + 12 + 4z Combine like terms: -12 + 12 = 0 0 + -4z = -12 + 12 + 4z -4z = -12 + 12 + 4z Combine like terms: -12 + 12 = 0 -4z = 0 + 4z -4z = 4z Solving -4z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -4z + -4z = 4z + -4z Combine like terms: -4z + -4z = -8z -8z = 4z + -4z Combine like terms: 4z + -4z = 0 -8z = 0 Divide each side by '-8'. z = 0 Simplifying z = 0
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