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Simplifying 2(z + -2) = 3(z + 3) Reorder the terms: 2(-2 + z) = 3(z + 3) (-2 * 2 + z * 2) = 3(z + 3) (-4 + 2z) = 3(z + 3) Reorder the terms: -4 + 2z = 3(3 + z) -4 + 2z = (3 * 3 + z * 3) -4 + 2z = (9 + 3z) Solving -4 + 2z = 9 + 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 + 2z + -3z = 9 + 3z + -3z Combine like terms: 2z + -3z = -1z -4 + -1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -1z = 9 + 0 -4 + -1z = 9 Add '4' to each side of the equation. -4 + 4 + -1z = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -1z = 9 + 4 -1z = 9 + 4 Combine like terms: 9 + 4 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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