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Simplifying 2(z + -2) + -1 = 3(z + -3) Reorder the terms: 2(-2 + z) + -1 = 3(z + -3) (-2 * 2 + z * 2) + -1 = 3(z + -3) (-4 + 2z) + -1 = 3(z + -3) Reorder the terms: -4 + -1 + 2z = 3(z + -3) Combine like terms: -4 + -1 = -5 -5 + 2z = 3(z + -3) Reorder the terms: -5 + 2z = 3(-3 + z) -5 + 2z = (-3 * 3 + z * 3) -5 + 2z = (-9 + 3z) Solving -5 + 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. -5 + 2z + -3z = -9 + 3z + -3z Combine like terms: 2z + -3z = -1z -5 + -1z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 -5 + -1z = -9 + 0 -5 + -1z = -9 Add '5' to each side of the equation. -5 + 5 + -1z = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = -9 + 5 -1z = -9 + 5 Combine like terms: -9 + 5 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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