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Simplifying 4(12 + -2z) + 4 = 2z + -1(4z + 2) (12 * 4 + -2z * 4) + 4 = 2z + -1(4z + 2) (48 + -8z) + 4 = 2z + -1(4z + 2) Reorder the terms: 48 + 4 + -8z = 2z + -1(4z + 2) Combine like terms: 48 + 4 = 52 52 + -8z = 2z + -1(4z + 2) Reorder the terms: 52 + -8z = 2z + -1(2 + 4z) 52 + -8z = 2z + (2 * -1 + 4z * -1) 52 + -8z = 2z + (-2 + -4z) Reorder the terms: 52 + -8z = -2 + 2z + -4z Combine like terms: 2z + -4z = -2z 52 + -8z = -2 + -2z Solving 52 + -8z = -2 + -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. 52 + -8z + 2z = -2 + -2z + 2z Combine like terms: -8z + 2z = -6z 52 + -6z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 52 + -6z = -2 + 0 52 + -6z = -2 Add '-52' to each side of the equation. 52 + -52 + -6z = -2 + -52 Combine like terms: 52 + -52 = 0 0 + -6z = -2 + -52 -6z = -2 + -52 Combine like terms: -2 + -52 = -54 -6z = -54 Divide each side by '-6'. z = 9 Simplifying z = 9
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