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Simplifying -19 + -15z = z + 13 + -12z Reorder the terms: -19 + -15z = 13 + z + -12z Combine like terms: z + -12z = -11z -19 + -15z = 13 + -11z Solving -19 + -15z = 13 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. -19 + -15z + 11z = 13 + -11z + 11z Combine like terms: -15z + 11z = -4z -19 + -4z = 13 + -11z + 11z Combine like terms: -11z + 11z = 0 -19 + -4z = 13 + 0 -19 + -4z = 13 Add '19' to each side of the equation. -19 + 19 + -4z = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -4z = 13 + 19 -4z = 13 + 19 Combine like terms: 13 + 19 = 32 -4z = 32 Divide each side by '-4'. z = -8 Simplifying z = -8
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