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Simplifying -6 + -2(7z + -2) = 4(-6 + 2) + -4 Reorder the terms: -6 + -2(-2 + 7z) = 4(-6 + 2) + -4 -6 + (-2 * -2 + 7z * -2) = 4(-6 + 2) + -4 -6 + (4 + -14z) = 4(-6 + 2) + -4 Combine like terms: -6 + 4 = -2 -2 + -14z = 4(-6 + 2) + -4 Combine like terms: -6 + 2 = -4 -2 + -14z = 4(-4) + -4 Multiply 4 * -4 -2 + -14z = -16 + -4 Combine like terms: -16 + -4 = -20 -2 + -14z = -20 Solving -2 + -14z = -20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -14z = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -14z = -20 + 2 -14z = -20 + 2 Combine like terms: -20 + 2 = -18 -14z = -18 Divide each side by '-14'. z = 1.285714286 Simplifying z = 1.285714286
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