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Simplifying 3(z + -5) = 7 + 4z Reorder the terms: 3(-5 + z) = 7 + 4z (-5 * 3 + z * 3) = 7 + 4z (-15 + 3z) = 7 + 4z Solving -15 + 3z = 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. -15 + 3z + -4z = 7 + 4z + -4z Combine like terms: 3z + -4z = -1z -15 + -1z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 -15 + -1z = 7 + 0 -15 + -1z = 7 Add '15' to each side of the equation. -15 + 15 + -1z = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = 7 + 15 -1z = 7 + 15 Combine like terms: 7 + 15 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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