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Simplifying -28 + -4z = 6(8z + -7) Reorder the terms: -28 + -4z = 6(-7 + 8z) -28 + -4z = (-7 * 6 + 8z * 6) -28 + -4z = (-42 + 48z) Solving -28 + -4z = -42 + 48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48z' to each side of the equation. -28 + -4z + -48z = -42 + 48z + -48z Combine like terms: -4z + -48z = -52z -28 + -52z = -42 + 48z + -48z Combine like terms: 48z + -48z = 0 -28 + -52z = -42 + 0 -28 + -52z = -42 Add '28' to each side of the equation. -28 + 28 + -52z = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -52z = -42 + 28 -52z = -42 + 28 Combine like terms: -42 + 28 = -14 -52z = -14 Divide each side by '-52'. z = 0.2692307692 Simplifying z = 0.2692307692
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