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Simplifying 19 + -2z = 6(7z + -5) Reorder the terms: 19 + -2z = 6(-5 + 7z) 19 + -2z = (-5 * 6 + 7z * 6) 19 + -2z = (-30 + 42z) Solving 19 + -2z = -30 + 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. 19 + -2z + -42z = -30 + 42z + -42z Combine like terms: -2z + -42z = -44z 19 + -44z = -30 + 42z + -42z Combine like terms: 42z + -42z = 0 19 + -44z = -30 + 0 19 + -44z = -30 Add '-19' to each side of the equation. 19 + -19 + -44z = -30 + -19 Combine like terms: 19 + -19 = 0 0 + -44z = -30 + -19 -44z = -30 + -19 Combine like terms: -30 + -19 = -49 -44z = -49 Divide each side by '-44'. z = 1.113636364 Simplifying z = 1.113636364
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