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Simplifying 5(z + -4) + 13 = 3(z + 7) Reorder the terms: 5(-4 + z) + 13 = 3(z + 7) (-4 * 5 + z * 5) + 13 = 3(z + 7) (-20 + 5z) + 13 = 3(z + 7) Reorder the terms: -20 + 13 + 5z = 3(z + 7) Combine like terms: -20 + 13 = -7 -7 + 5z = 3(z + 7) Reorder the terms: -7 + 5z = 3(7 + z) -7 + 5z = (7 * 3 + z * 3) -7 + 5z = (21 + 3z) Solving -7 + 5z = 21 + 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 + 5z + -3z = 21 + 3z + -3z Combine like terms: 5z + -3z = 2z -7 + 2z = 21 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 2z = 21 + 0 -7 + 2z = 21 Add '7' to each side of the equation. -7 + 7 + 2z = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = 21 + 7 2z = 21 + 7 Combine like terms: 21 + 7 = 28 2z = 28 Divide each side by '2'. z = 14 Simplifying z = 14
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