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Simplifying 8z + -7 = -5 + 3(z + -2) Reorder the terms: -7 + 8z = -5 + 3(z + -2) Reorder the terms: -7 + 8z = -5 + 3(-2 + z) -7 + 8z = -5 + (-2 * 3 + z * 3) -7 + 8z = -5 + (-6 + 3z) Combine like terms: -5 + -6 = -11 -7 + 8z = -11 + 3z Solving -7 + 8z = -11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -7 + 8z + -3z = -11 + 3z + -3z Combine like terms: 8z + -3z = 5z -7 + 5z = -11 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 5z = -11 + 0 -7 + 5z = -11 Add '7' to each side of the equation. -7 + 7 + 5z = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = -11 + 7 5z = -11 + 7 Combine like terms: -11 + 7 = -4 5z = -4 Divide each side by '5'. z = -0.8 Simplifying z = -0.8
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