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Simplifying 9 + 6(-3z + -4) = 5 + -1(8z + -6) + -2 Reorder the terms: 9 + 6(-4 + -3z) = 5 + -1(8z + -6) + -2 9 + (-4 * 6 + -3z * 6) = 5 + -1(8z + -6) + -2 9 + (-24 + -18z) = 5 + -1(8z + -6) + -2 Combine like terms: 9 + -24 = -15 -15 + -18z = 5 + -1(8z + -6) + -2 Reorder the terms: -15 + -18z = 5 + -1(-6 + 8z) + -2 -15 + -18z = 5 + (-6 * -1 + 8z * -1) + -2 -15 + -18z = 5 + (6 + -8z) + -2 Reorder the terms: -15 + -18z = 5 + 6 + -2 + -8z Combine like terms: 5 + 6 = 11 -15 + -18z = 11 + -2 + -8z Combine like terms: 11 + -2 = 9 -15 + -18z = 9 + -8z Solving -15 + -18z = 9 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -15 + -18z + 8z = 9 + -8z + 8z Combine like terms: -18z + 8z = -10z -15 + -10z = 9 + -8z + 8z Combine like terms: -8z + 8z = 0 -15 + -10z = 9 + 0 -15 + -10z = 9 Add '15' to each side of the equation. -15 + 15 + -10z = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -10z = 9 + 15 -10z = 9 + 15 Combine like terms: 9 + 15 = 24 -10z = 24 Divide each side by '-10'. z = -2.4 Simplifying z = -2.4
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