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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 = 44z -28 + 44z = 42 + -48z + 48z Combine like terms: -48z + 48z = 0 -28 + 44z = 42 + 0 -28 + 44z = 42 Add '28' to each side of the equation. -28 + 28 + 44z = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 44z = 42 + 28 44z = 42 + 28 Combine like terms: 42 + 28 = 70 44z = 70 Divide each side by '44'. z = 1.590909091 Simplifying z = 1.590909091
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