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Simplifying 2x + 2y + 2z + -12 = 2x + 2y + 4z + -14 Reorder the terms: -12 + 2x + 2y + 2z = 2x + 2y + 4z + -14 Reorder the terms: -12 + 2x + 2y + 2z = -14 + 2x + 2y + 4z Add '-2x' to each side of the equation. -12 + 2x + 2y + -2x + 2z = -14 + 2x + 2y + -2x + 4z Reorder the terms: -12 + 2x + -2x + 2y + 2z = -14 + 2x + 2y + -2x + 4z Combine like terms: 2x + -2x = 0 -12 + 0 + 2y + 2z = -14 + 2x + 2y + -2x + 4z -12 + 2y + 2z = -14 + 2x + 2y + -2x + 4z Reorder the terms: -12 + 2y + 2z = -14 + 2x + -2x + 2y + 4z Combine like terms: 2x + -2x = 0 -12 + 2y + 2z = -14 + 0 + 2y + 4z -12 + 2y + 2z = -14 + 2y + 4z Add '-2y' to each side of the equation. -12 + 2y + -2y + 2z = -14 + 2y + -2y + 4z Combine like terms: 2y + -2y = 0 -12 + 0 + 2z = -14 + 2y + -2y + 4z -12 + 2z = -14 + 2y + -2y + 4z Combine like terms: 2y + -2y = 0 -12 + 2z = -14 + 0 + 4z -12 + 2z = -14 + 4z Solving -12 + 2z = -14 + 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. -12 + 2z + -4z = -14 + 4z + -4z Combine like terms: 2z + -4z = -2z -12 + -2z = -14 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -2z = -14 + 0 -12 + -2z = -14 Add '12' to each side of the equation. -12 + 12 + -2z = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = -14 + 12 -2z = -14 + 12 Combine like terms: -14 + 12 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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