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Simplifying -37Z + -45 = Z + -1(-7) Reorder the terms: -45 + -37Z = Z + -1(-7) Multiply -1 * -7 -45 + -37Z = Z + 7 Reorder the terms: -45 + -37Z = 7 + Z Solving -45 + -37Z = 7 + 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. -45 + -37Z + -1Z = 7 + Z + -1Z Combine like terms: -37Z + -1Z = -38Z -45 + -38Z = 7 + Z + -1Z Combine like terms: Z + -1Z = 0 -45 + -38Z = 7 + 0 -45 + -38Z = 7 Add '45' to each side of the equation. -45 + 45 + -38Z = 7 + 45 Combine like terms: -45 + 45 = 0 0 + -38Z = 7 + 45 -38Z = 7 + 45 Combine like terms: 7 + 45 = 52 -38Z = 52 Divide each side by '-38'. Z = -1.368421053 Simplifying Z = -1.368421053
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