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Simplifying -3z + -1(9z + 10) = 10(5z + 4) Reorder the terms: -3z + -1(10 + 9z) = 10(5z + 4) -3z + (10 * -1 + 9z * -1) = 10(5z + 4) -3z + (-10 + -9z) = 10(5z + 4) Reorder the terms: -10 + -3z + -9z = 10(5z + 4) Combine like terms: -3z + -9z = -12z -10 + -12z = 10(5z + 4) Reorder the terms: -10 + -12z = 10(4 + 5z) -10 + -12z = (4 * 10 + 5z * 10) -10 + -12z = (40 + 50z) Solving -10 + -12z = 40 + 50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50z' to each side of the equation. -10 + -12z + -50z = 40 + 50z + -50z Combine like terms: -12z + -50z = -62z -10 + -62z = 40 + 50z + -50z Combine like terms: 50z + -50z = 0 -10 + -62z = 40 + 0 -10 + -62z = 40 Add '10' to each side of the equation. -10 + 10 + -62z = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -62z = 40 + 10 -62z = 40 + 10 Combine like terms: 40 + 10 = 50 -62z = 50 Divide each side by '-62'. z = -0.8064516129 Simplifying z = -0.8064516129
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