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Simplifying -3 + -7z = 3(-4z + -16) Reorder the terms: -3 + -7z = 3(-16 + -4z) -3 + -7z = (-16 * 3 + -4z * 3) -3 + -7z = (-48 + -12z) Solving -3 + -7z = -48 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -3 + -7z + 12z = -48 + -12z + 12z Combine like terms: -7z + 12z = 5z -3 + 5z = -48 + -12z + 12z Combine like terms: -12z + 12z = 0 -3 + 5z = -48 + 0 -3 + 5z = -48 Add '3' to each side of the equation. -3 + 3 + 5z = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = -48 + 3 5z = -48 + 3 Combine like terms: -48 + 3 = -45 5z = -45 Divide each side by '5'. z = -9 Simplifying z = -9
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