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Simplifying 4(z + -5) = 7(z + 3) Reorder the terms: 4(-5 + z) = 7(z + 3) (-5 * 4 + z * 4) = 7(z + 3) (-20 + 4z) = 7(z + 3) Reorder the terms: -20 + 4z = 7(3 + z) -20 + 4z = (3 * 7 + z * 7) -20 + 4z = (21 + 7z) Solving -20 + 4z = 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 + 4z + -7z = 21 + 7z + -7z Combine like terms: 4z + -7z = -3z -20 + -3z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 -20 + -3z = 21 + 0 -20 + -3z = 21 Add '20' to each side of the equation. -20 + 20 + -3z = 21 + 20 Combine like terms: -20 + 20 = 0 0 + -3z = 21 + 20 -3z = 21 + 20 Combine like terms: 21 + 20 = 41 -3z = 41 Divide each side by '-3'. z = -13.66666667 Simplifying z = -13.66666667
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