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Simplifying -0.9(Z + 7) = -0.3(Z + -3) Reorder the terms: -0.9(7 + Z) = -0.3(Z + -3) (7 * -0.9 + Z * -0.9) = -0.3(Z + -3) (-6.3 + -0.9Z) = -0.3(Z + -3) Reorder the terms: -6.3 + -0.9Z = -0.3(-3 + Z) -6.3 + -0.9Z = (-3 * -0.3 + Z * -0.3) -6.3 + -0.9Z = (0.9 + -0.3Z) Solving -6.3 + -0.9Z = 0.9 + -0.3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '0.3Z' to each side of the equation. -6.3 + -0.9Z + 0.3Z = 0.9 + -0.3Z + 0.3Z Combine like terms: -0.9Z + 0.3Z = -0.6Z -6.3 + -0.6Z = 0.9 + -0.3Z + 0.3Z Combine like terms: -0.3Z + 0.3Z = 0.0 -6.3 + -0.6Z = 0.9 + 0.0 -6.3 + -0.6Z = 0.9 Add '6.3' to each side of the equation. -6.3 + 6.3 + -0.6Z = 0.9 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + -0.6Z = 0.9 + 6.3 -0.6Z = 0.9 + 6.3 Combine like terms: 0.9 + 6.3 = 7.2 -0.6Z = 7.2 Divide each side by '-0.6'. Z = -12 Simplifying Z = -12
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