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Simplifying 5 + 3z + -4 = 8z + 15 + -3z Reorder the terms: 5 + -4 + 3z = 8z + 15 + -3z Combine like terms: 5 + -4 = 1 1 + 3z = 8z + 15 + -3z Reorder the terms: 1 + 3z = 15 + 8z + -3z Combine like terms: 8z + -3z = 5z 1 + 3z = 15 + 5z Solving 1 + 3z = 15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 3z + -5z = 15 + 5z + -5z Combine like terms: 3z + -5z = -2z 1 + -2z = 15 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + -2z = 15 + 0 1 + -2z = 15 Add '-1' to each side of the equation. 1 + -1 + -2z = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 15 + -1 -2z = 15 + -1 Combine like terms: 15 + -1 = 14 -2z = 14 Divide each side by '-2'. z = -7 Simplifying z = -7
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