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Simplifying 5(z + -4) + 5 = 5 + -6z Reorder the terms: 5(-4 + z) + 5 = 5 + -6z (-4 * 5 + z * 5) + 5 = 5 + -6z (-20 + 5z) + 5 = 5 + -6z Reorder the terms: -20 + 5 + 5z = 5 + -6z Combine like terms: -20 + 5 = -15 -15 + 5z = 5 + -6z Solving -15 + 5z = 5 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -15 + 5z + 6z = 5 + -6z + 6z Combine like terms: 5z + 6z = 11z -15 + 11z = 5 + -6z + 6z Combine like terms: -6z + 6z = 0 -15 + 11z = 5 + 0 -15 + 11z = 5 Add '15' to each side of the equation. -15 + 15 + 11z = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 11z = 5 + 15 11z = 5 + 15 Combine like terms: 5 + 15 = 20 11z = 20 Divide each side by '11'. z = 1.818181818 Simplifying z = 1.818181818
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