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Simplifying -28 + -7z = 8(6z + -5) Reorder the terms: -28 + -7z = 8(-5 + 6z) -28 + -7z = (-5 * 8 + 6z * 8) -28 + -7z = (-40 + 48z) Solving -28 + -7z = -40 + 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 + -7z + -48z = -40 + 48z + -48z Combine like terms: -7z + -48z = -55z -28 + -55z = -40 + 48z + -48z Combine like terms: 48z + -48z = 0 -28 + -55z = -40 + 0 -28 + -55z = -40 Add '28' to each side of the equation. -28 + 28 + -55z = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -55z = -40 + 28 -55z = -40 + 28 Combine like terms: -40 + 28 = -12 -55z = -12 Divide each side by '-55'. z = 0.2181818182 Simplifying z = 0.2181818182
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