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Simplifying -7(1 + -4z) + 2 = 19 + -5r (1 * -7 + -4z * -7) + 2 = 19 + -5r (-7 + 28z) + 2 = 19 + -5r Reorder the terms: -7 + 2 + 28z = 19 + -5r Combine like terms: -7 + 2 = -5 -5 + 28z = 19 + -5r Solving -5 + 28z = 19 + -5r Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 28z = 19 + 5 + -5r Combine like terms: -5 + 5 = 0 0 + 28z = 19 + 5 + -5r 28z = 19 + 5 + -5r Combine like terms: 19 + 5 = 24 28z = 24 + -5r Divide each side by '28'. z = 0.8571428571 + -0.1785714286r Simplifying z = 0.8571428571 + -0.1785714286r
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