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Simplifying 4(2z + -5) = 7(z + 3) Reorder the terms: 4(-5 + 2z) = 7(z + 3) (-5 * 4 + 2z * 4) = 7(z + 3) (-20 + 8z) = 7(z + 3) Reorder the terms: -20 + 8z = 7(3 + z) -20 + 8z = (3 * 7 + z * 7) -20 + 8z = (21 + 7z) Solving -20 + 8z = 21 + 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. -20 + 8z + -7z = 21 + 7z + -7z Combine like terms: 8z + -7z = 1z -20 + 1z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 -20 + 1z = 21 + 0 -20 + 1z = 21 Add '20' to each side of the equation. -20 + 20 + 1z = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = 21 + 20 1z = 21 + 20 Combine like terms: 21 + 20 = 41 1z = 41 Divide each side by '1'. z = 41 Simplifying z = 41
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