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Simplifying -18z = 14 + 26 + (7z + -17) + -1(-28z + 19) Reorder the terms: -18z = 14 + 26 + (-17 + 7z) + -1(-28z + 19) Remove parenthesis around (-17 + 7z) -18z = 14 + 26 + -17 + 7z + -1(-28z + 19) Reorder the terms: -18z = 14 + 26 + -17 + 7z + -1(19 + -28z) -18z = 14 + 26 + -17 + 7z + (19 * -1 + -28z * -1) -18z = 14 + 26 + -17 + 7z + (-19 + 28z) Reorder the terms: -18z = 14 + 26 + -17 + -19 + 7z + 28z Combine like terms: 14 + 26 = 40 -18z = 40 + -17 + -19 + 7z + 28z Combine like terms: 40 + -17 = 23 -18z = 23 + -19 + 7z + 28z Combine like terms: 23 + -19 = 4 -18z = 4 + 7z + 28z Combine like terms: 7z + 28z = 35z -18z = 4 + 35z Solving -18z = 4 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -18z + -35z = 4 + 35z + -35z Combine like terms: -18z + -35z = -53z -53z = 4 + 35z + -35z Combine like terms: 35z + -35z = 0 -53z = 4 + 0 -53z = 4 Divide each side by '-53'. z = -0.07547169811 Simplifying z = -0.07547169811
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