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Simplifying 5(3 + z) + -8(z + 9) = -4z (3 * 5 + z * 5) + -8(z + 9) = -4z (15 + 5z) + -8(z + 9) = -4z Reorder the terms: 15 + 5z + -8(9 + z) = -4z 15 + 5z + (9 * -8 + z * -8) = -4z 15 + 5z + (-72 + -8z) = -4z Reorder the terms: 15 + -72 + 5z + -8z = -4z Combine like terms: 15 + -72 = -57 -57 + 5z + -8z = -4z Combine like terms: 5z + -8z = -3z -57 + -3z = -4z Solving -57 + -3z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -57 + -3z + 4z = -4z + 4z Combine like terms: -3z + 4z = 1z -57 + 1z = -4z + 4z Combine like terms: -4z + 4z = 0 -57 + 1z = 0 Add '57' to each side of the equation. -57 + 57 + 1z = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 1z = 0 + 57 1z = 0 + 57 Combine like terms: 0 + 57 = 57 1z = 57 Divide each side by '1'. z = 57 Simplifying z = 57
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