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Simplifying -4 + -2(-4z + 3) = 9(-2z + -4) + 6 Reorder the terms: -4 + -2(3 + -4z) = 9(-2z + -4) + 6 -4 + (3 * -2 + -4z * -2) = 9(-2z + -4) + 6 -4 + (-6 + 8z) = 9(-2z + -4) + 6 Combine like terms: -4 + -6 = -10 -10 + 8z = 9(-2z + -4) + 6 Reorder the terms: -10 + 8z = 9(-4 + -2z) + 6 -10 + 8z = (-4 * 9 + -2z * 9) + 6 -10 + 8z = (-36 + -18z) + 6 Reorder the terms: -10 + 8z = -36 + 6 + -18z Combine like terms: -36 + 6 = -30 -10 + 8z = -30 + -18z Solving -10 + 8z = -30 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. -10 + 8z + 18z = -30 + -18z + 18z Combine like terms: 8z + 18z = 26z -10 + 26z = -30 + -18z + 18z Combine like terms: -18z + 18z = 0 -10 + 26z = -30 + 0 -10 + 26z = -30 Add '10' to each side of the equation. -10 + 10 + 26z = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 26z = -30 + 10 26z = -30 + 10 Combine like terms: -30 + 10 = -20 26z = -20 Divide each side by '26'. z = -0.7692307692 Simplifying z = -0.7692307692
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