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Simplifying 3 = 2(z + -4) + -1 Reorder the terms: 3 = 2(-4 + z) + -1 3 = (-4 * 2 + z * 2) + -1 3 = (-8 + 2z) + -1 Reorder the terms: 3 = -8 + -1 + 2z Combine like terms: -8 + -1 = -9 3 = -9 + 2z Solving 3 = -9 + 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. 3 + -2z = -9 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + -2z = -9 + 0 3 + -2z = -9 Add '-3' to each side of the equation. 3 + -3 + -2z = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = -9 + -3 -2z = -9 + -3 Combine like terms: -9 + -3 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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