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Simplifying 4(-4 + 2z) = 4(-2 + 3z) + 4 (-4 * 4 + 2z * 4) = 4(-2 + 3z) + 4 (-16 + 8z) = 4(-2 + 3z) + 4 -16 + 8z = (-2 * 4 + 3z * 4) + 4 -16 + 8z = (-8 + 12z) + 4 Reorder the terms: -16 + 8z = -8 + 4 + 12z Combine like terms: -8 + 4 = -4 -16 + 8z = -4 + 12z Solving -16 + 8z = -4 + 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. -16 + 8z + -12z = -4 + 12z + -12z Combine like terms: 8z + -12z = -4z -16 + -4z = -4 + 12z + -12z Combine like terms: 12z + -12z = 0 -16 + -4z = -4 + 0 -16 + -4z = -4 Add '16' to each side of the equation. -16 + 16 + -4z = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4z = -4 + 16 -4z = -4 + 16 Combine like terms: -4 + 16 = 12 -4z = 12 Divide each side by '-4'. z = -3 Simplifying z = -3
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