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Simplifying 6(5z + -8) + -4 = 9 + z Reorder the terms: 6(-8 + 5z) + -4 = 9 + z (-8 * 6 + 5z * 6) + -4 = 9 + z (-48 + 30z) + -4 = 9 + z Reorder the terms: -48 + -4 + 30z = 9 + z Combine like terms: -48 + -4 = -52 -52 + 30z = 9 + z Solving -52 + 30z = 9 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -52 + 30z + -1z = 9 + z + -1z Combine like terms: 30z + -1z = 29z -52 + 29z = 9 + z + -1z Combine like terms: z + -1z = 0 -52 + 29z = 9 + 0 -52 + 29z = 9 Add '52' to each side of the equation. -52 + 52 + 29z = 9 + 52 Combine like terms: -52 + 52 = 0 0 + 29z = 9 + 52 29z = 9 + 52 Combine like terms: 9 + 52 = 61 29z = 61 Divide each side by '29'. z = 2.103448276 Simplifying z = 2.103448276
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