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Simplifying -1(z + 12) + 2 = -4z + 4 Reorder the terms: -1(12 + z) + 2 = -4z + 4 (12 * -1 + z * -1) + 2 = -4z + 4 (-12 + -1z) + 2 = -4z + 4 Reorder the terms: -12 + 2 + -1z = -4z + 4 Combine like terms: -12 + 2 = -10 -10 + -1z = -4z + 4 Reorder the terms: -10 + -1z = 4 + -4z Solving -10 + -1z = 4 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -10 + -1z + 4z = 4 + -4z + 4z Combine like terms: -1z + 4z = 3z -10 + 3z = 4 + -4z + 4z Combine like terms: -4z + 4z = 0 -10 + 3z = 4 + 0 -10 + 3z = 4 Add '10' to each side of the equation. -10 + 10 + 3z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 3z = 4 + 10 3z = 4 + 10 Combine like terms: 4 + 10 = 14 3z = 14 Divide each side by '3'. z = 4.666666667 Simplifying z = 4.666666667
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