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Simplifying -10(19z + 13) + 5z = 0 Reorder the terms: -10(13 + 19z) + 5z = 0 (13 * -10 + 19z * -10) + 5z = 0 (-130 + -190z) + 5z = 0 Combine like terms: -190z + 5z = -185z -130 + -185z = 0 Solving -130 + -185z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + -185z = 0 + 130 Combine like terms: -130 + 130 = 0 0 + -185z = 0 + 130 -185z = 0 + 130 Combine like terms: 0 + 130 = 130 -185z = 130 Divide each side by '-185'. z = -0.7027027027 Simplifying z = -0.7027027027
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