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Simplifying 3(z + -3) + 13 = 2(z + 4) Reorder the terms: 3(-3 + z) + 13 = 2(z + 4) (-3 * 3 + z * 3) + 13 = 2(z + 4) (-9 + 3z) + 13 = 2(z + 4) Reorder the terms: -9 + 13 + 3z = 2(z + 4) Combine like terms: -9 + 13 = 4 4 + 3z = 2(z + 4) Reorder the terms: 4 + 3z = 2(4 + z) 4 + 3z = (4 * 2 + z * 2) 4 + 3z = (8 + 2z) Solving 4 + 3z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 4 + 3z + -2z = 8 + 2z + -2z Combine like terms: 3z + -2z = 1z 4 + 1z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 1z = 8 + 0 4 + 1z = 8 Add '-4' to each side of the equation. 4 + -4 + 1z = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 8 + -4 1z = 8 + -4 Combine like terms: 8 + -4 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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