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Simplifying -3(z + 4) + 5 = 7z + 23 Reorder the terms: -3(4 + z) + 5 = 7z + 23 (4 * -3 + z * -3) + 5 = 7z + 23 (-12 + -3z) + 5 = 7z + 23 Reorder the terms: -12 + 5 + -3z = 7z + 23 Combine like terms: -12 + 5 = -7 -7 + -3z = 7z + 23 Reorder the terms: -7 + -3z = 23 + 7z Solving -7 + -3z = 23 + 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. -7 + -3z + -7z = 23 + 7z + -7z Combine like terms: -3z + -7z = -10z -7 + -10z = 23 + 7z + -7z Combine like terms: 7z + -7z = 0 -7 + -10z = 23 + 0 -7 + -10z = 23 Add '7' to each side of the equation. -7 + 7 + -10z = 23 + 7 Combine like terms: -7 + 7 = 0 0 + -10z = 23 + 7 -10z = 23 + 7 Combine like terms: 23 + 7 = 30 -10z = 30 Divide each side by '-10'. z = -3 Simplifying z = -3
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