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Simplifying -3(-6z + 7) + -1(8z + 3) = -54 Reorder the terms: -3(7 + -6z) + -1(8z + 3) = -54 (7 * -3 + -6z * -3) + -1(8z + 3) = -54 (-21 + 18z) + -1(8z + 3) = -54 Reorder the terms: -21 + 18z + -1(3 + 8z) = -54 -21 + 18z + (3 * -1 + 8z * -1) = -54 -21 + 18z + (-3 + -8z) = -54 Reorder the terms: -21 + -3 + 18z + -8z = -54 Combine like terms: -21 + -3 = -24 -24 + 18z + -8z = -54 Combine like terms: 18z + -8z = 10z -24 + 10z = -54 Solving -24 + 10z = -54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 10z = -54 + 24 Combine like terms: -24 + 24 = 0 0 + 10z = -54 + 24 10z = -54 + 24 Combine like terms: -54 + 24 = -30 10z = -30 Divide each side by '10'. z = -3 Simplifying z = -3
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