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Simplifying -19 + 12.6z = 3.6z + -1(-7z + 3) Reorder the terms: -19 + 12.6z = 3.6z + -1(3 + -7z) -19 + 12.6z = 3.6z + (3 * -1 + -7z * -1) -19 + 12.6z = 3.6z + (-3 + 7z) Reorder the terms: -19 + 12.6z = -3 + 3.6z + 7z Combine like terms: 3.6z + 7z = 10.6z -19 + 12.6z = -3 + 10.6z Solving -19 + 12.6z = -3 + 10.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10.6z' to each side of the equation. -19 + 12.6z + -10.6z = -3 + 10.6z + -10.6z Combine like terms: 12.6z + -10.6z = 2z -19 + 2z = -3 + 10.6z + -10.6z Combine like terms: 10.6z + -10.6z = 0.0 -19 + 2z = -3 + 0.0 -19 + 2z = -3 Add '19' to each side of the equation. -19 + 19 + 2z = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 2z = -3 + 19 2z = -3 + 19 Combine like terms: -3 + 19 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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