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Simplifying 7 + (z + -3) = 3(z + 2) Reorder the terms: 7 + (-3 + z) = 3(z + 2) Remove parenthesis around (-3 + z) 7 + -3 + z = 3(z + 2) Combine like terms: 7 + -3 = 4 4 + z = 3(z + 2) Reorder the terms: 4 + z = 3(2 + z) 4 + z = (2 * 3 + z * 3) 4 + z = (6 + 3z) Solving 4 + z = 6 + 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. 4 + z + -3z = 6 + 3z + -3z Combine like terms: z + -3z = -2z 4 + -2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -2z = 6 + 0 4 + -2z = 6 Add '-4' to each side of the equation. 4 + -4 + -2z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 6 + -4 -2z = 6 + -4 Combine like terms: 6 + -4 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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