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Simplifying 4(2z + -3) = (z + 5) Reorder the terms: 4(-3 + 2z) = (z + 5) (-3 * 4 + 2z * 4) = (z + 5) (-12 + 8z) = (z + 5) Reorder the terms: -12 + 8z = (5 + z) Remove parenthesis around (5 + z) -12 + 8z = 5 + z Solving -12 + 8z = 5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -12 + 8z + -1z = 5 + z + -1z Combine like terms: 8z + -1z = 7z -12 + 7z = 5 + z + -1z Combine like terms: z + -1z = 0 -12 + 7z = 5 + 0 -12 + 7z = 5 Add '12' to each side of the equation. -12 + 12 + 7z = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 7z = 5 + 12 7z = 5 + 12 Combine like terms: 5 + 12 = 17 7z = 17 Divide each side by '7'. z = 2.428571429 Simplifying z = 2.428571429
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