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Simplifying 2(z + -3) + -3 = 3(z + -6) Reorder the terms: 2(-3 + z) + -3 = 3(z + -6) (-3 * 2 + z * 2) + -3 = 3(z + -6) (-6 + 2z) + -3 = 3(z + -6) Reorder the terms: -6 + -3 + 2z = 3(z + -6) Combine like terms: -6 + -3 = -9 -9 + 2z = 3(z + -6) Reorder the terms: -9 + 2z = 3(-6 + z) -9 + 2z = (-6 * 3 + z * 3) -9 + 2z = (-18 + 3z) Solving -9 + 2z = -18 + 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. -9 + 2z + -3z = -18 + 3z + -3z Combine like terms: 2z + -3z = -1z -9 + -1z = -18 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + -1z = -18 + 0 -9 + -1z = -18 Add '9' to each side of the equation. -9 + 9 + -1z = -18 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -18 + 9 -1z = -18 + 9 Combine like terms: -18 + 9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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