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Simplifying -4(4z + 9) + 6(z + -3) = 0 Reorder the terms: -4(9 + 4z) + 6(z + -3) = 0 (9 * -4 + 4z * -4) + 6(z + -3) = 0 (-36 + -16z) + 6(z + -3) = 0 Reorder the terms: -36 + -16z + 6(-3 + z) = 0 -36 + -16z + (-3 * 6 + z * 6) = 0 -36 + -16z + (-18 + 6z) = 0 Reorder the terms: -36 + -18 + -16z + 6z = 0 Combine like terms: -36 + -18 = -54 -54 + -16z + 6z = 0 Combine like terms: -16z + 6z = -10z -54 + -10z = 0 Solving -54 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -10z = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -10z = 0 + 54 -10z = 0 + 54 Combine like terms: 0 + 54 = 54 -10z = 54 Divide each side by '-10'. z = -5.4 Simplifying z = -5.4
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