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Simplifying 5(z + -3) + 3z = 5 + -7z Reorder the terms: 5(-3 + z) + 3z = 5 + -7z (-3 * 5 + z * 5) + 3z = 5 + -7z (-15 + 5z) + 3z = 5 + -7z Combine like terms: 5z + 3z = 8z -15 + 8z = 5 + -7z Solving -15 + 8z = 5 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -15 + 8z + 7z = 5 + -7z + 7z Combine like terms: 8z + 7z = 15z -15 + 15z = 5 + -7z + 7z Combine like terms: -7z + 7z = 0 -15 + 15z = 5 + 0 -15 + 15z = 5 Add '15' to each side of the equation. -15 + 15 + 15z = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 15z = 5 + 15 15z = 5 + 15 Combine like terms: 5 + 15 = 20 15z = 20 Divide each side by '15'. z = 1.333333333 Simplifying z = 1.333333333
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