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Simplifying 3 + 6(-7z + -2) = 4(-4z + -4) + 2 Reorder the terms: 3 + 6(-2 + -7z) = 4(-4z + -4) + 2 3 + (-2 * 6 + -7z * 6) = 4(-4z + -4) + 2 3 + (-12 + -42z) = 4(-4z + -4) + 2 Combine like terms: 3 + -12 = -9 -9 + -42z = 4(-4z + -4) + 2 Reorder the terms: -9 + -42z = 4(-4 + -4z) + 2 -9 + -42z = (-4 * 4 + -4z * 4) + 2 -9 + -42z = (-16 + -16z) + 2 Reorder the terms: -9 + -42z = -16 + 2 + -16z Combine like terms: -16 + 2 = -14 -9 + -42z = -14 + -16z Solving -9 + -42z = -14 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -9 + -42z + 16z = -14 + -16z + 16z Combine like terms: -42z + 16z = -26z -9 + -26z = -14 + -16z + 16z Combine like terms: -16z + 16z = 0 -9 + -26z = -14 + 0 -9 + -26z = -14 Add '9' to each side of the equation. -9 + 9 + -26z = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -26z = -14 + 9 -26z = -14 + 9 Combine like terms: -14 + 9 = -5 -26z = -5 Divide each side by '-26'. z = 0.1923076923 Simplifying z = 0.1923076923
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