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Simplifying 2(Z) + -1(-2) + 46 = -4Z Multiply -1 * -2 2Z + 2 + 46 = -4Z Reorder the terms: 2 + 46 + 2Z = -4Z Combine like terms: 2 + 46 = 48 48 + 2Z = -4Z Solving 48 + 2Z = -4Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '4Z' to each side of the equation. 48 + 2Z + 4Z = -4Z + 4Z Combine like terms: 2Z + 4Z = 6Z 48 + 6Z = -4Z + 4Z Combine like terms: -4Z + 4Z = 0 48 + 6Z = 0 Add '-48' to each side of the equation. 48 + -48 + 6Z = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6Z = 0 + -48 6Z = 0 + -48 Combine like terms: 0 + -48 = -48 6Z = -48 Divide each side by '6'. Z = -8 Simplifying Z = -8
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