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Simplifying 5(z + -4) + 4 = 4z + -7 Reorder the terms: 5(-4 + z) + 4 = 4z + -7 (-4 * 5 + z * 5) + 4 = 4z + -7 (-20 + 5z) + 4 = 4z + -7 Reorder the terms: -20 + 4 + 5z = 4z + -7 Combine like terms: -20 + 4 = -16 -16 + 5z = 4z + -7 Reorder the terms: -16 + 5z = -7 + 4z Solving -16 + 5z = -7 + 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. -16 + 5z + -4z = -7 + 4z + -4z Combine like terms: 5z + -4z = 1z -16 + 1z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 -16 + 1z = -7 + 0 -16 + 1z = -7 Add '16' to each side of the equation. -16 + 16 + 1z = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1z = -7 + 16 1z = -7 + 16 Combine like terms: -7 + 16 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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