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Simplifying -10 + -19z = 19z + 2(-20z + -16) Reorder the terms: -10 + -19z = 19z + 2(-16 + -20z) -10 + -19z = 19z + (-16 * 2 + -20z * 2) -10 + -19z = 19z + (-32 + -40z) Reorder the terms: -10 + -19z = -32 + 19z + -40z Combine like terms: 19z + -40z = -21z -10 + -19z = -32 + -21z Solving -10 + -19z = -32 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -10 + -19z + 21z = -32 + -21z + 21z Combine like terms: -19z + 21z = 2z -10 + 2z = -32 + -21z + 21z Combine like terms: -21z + 21z = 0 -10 + 2z = -32 + 0 -10 + 2z = -32 Add '10' to each side of the equation. -10 + 10 + 2z = -32 + 10 Combine like terms: -10 + 10 = 0 0 + 2z = -32 + 10 2z = -32 + 10 Combine like terms: -32 + 10 = -22 2z = -22 Divide each side by '2'. z = -11 Simplifying z = -11
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