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Simplifying -37z + -23 = z + -1(-20) Reorder the terms: -23 + -37z = z + -1(-20) Multiply -1 * -20 -23 + -37z = z + 20 Reorder the terms: -23 + -37z = 20 + z Solving -23 + -37z = 20 + 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. -23 + -37z + -1z = 20 + z + -1z Combine like terms: -37z + -1z = -38z -23 + -38z = 20 + z + -1z Combine like terms: z + -1z = 0 -23 + -38z = 20 + 0 -23 + -38z = 20 Add '23' to each side of the equation. -23 + 23 + -38z = 20 + 23 Combine like terms: -23 + 23 = 0 0 + -38z = 20 + 23 -38z = 20 + 23 Combine like terms: 20 + 23 = 43 -38z = 43 Divide each side by '-38'. z = -1.131578947 Simplifying z = -1.131578947
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