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Simplifying 2 + -6(-2z + 1) = -3(-7z + 3) + 7 Reorder the terms: 2 + -6(1 + -2z) = -3(-7z + 3) + 7 2 + (1 * -6 + -2z * -6) = -3(-7z + 3) + 7 2 + (-6 + 12z) = -3(-7z + 3) + 7 Combine like terms: 2 + -6 = -4 -4 + 12z = -3(-7z + 3) + 7 Reorder the terms: -4 + 12z = -3(3 + -7z) + 7 -4 + 12z = (3 * -3 + -7z * -3) + 7 -4 + 12z = (-9 + 21z) + 7 Reorder the terms: -4 + 12z = -9 + 7 + 21z Combine like terms: -9 + 7 = -2 -4 + 12z = -2 + 21z Solving -4 + 12z = -2 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. -4 + 12z + -21z = -2 + 21z + -21z Combine like terms: 12z + -21z = -9z -4 + -9z = -2 + 21z + -21z Combine like terms: 21z + -21z = 0 -4 + -9z = -2 + 0 -4 + -9z = -2 Add '4' to each side of the equation. -4 + 4 + -9z = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = -2 + 4 -9z = -2 + 4 Combine like terms: -2 + 4 = 2 -9z = 2 Divide each side by '-9'. z = -0.2222222222 Simplifying z = -0.2222222222
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