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Simplifying -47z + -38 = z + -1(-36) Reorder the terms: -38 + -47z = z + -1(-36) Multiply -1 * -36 -38 + -47z = z + 36 Reorder the terms: -38 + -47z = 36 + z Solving -38 + -47z = 36 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -38 + -47z + -1z = 36 + z + -1z Combine like terms: -47z + -1z = -48z -38 + -48z = 36 + z + -1z Combine like terms: z + -1z = 0 -38 + -48z = 36 + 0 -38 + -48z = 36 Add '38' to each side of the equation. -38 + 38 + -48z = 36 + 38 Combine like terms: -38 + 38 = 0 0 + -48z = 36 + 38 -48z = 36 + 38 Combine like terms: 36 + 38 = 74 -48z = 74 Divide each side by '-48'. z = -1.541666667 Simplifying z = -1.541666667
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