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Simplifying Z + -4(z + 12) = -6 + -2z Reorder the terms: Z + -4(12 + z) = -6 + -2z Z + (12 * -4 + z * -4) = -6 + -2z Z + (-48 + -4z) = -6 + -2z Reorder the terms: -48 + Z + -4z = -6 + -2z Solving -48 + Z + -4z = -6 + -2z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + Z + 48 + -4z = -6 + 48 + -2z Reorder the terms: -48 + 48 + Z + -4z = -6 + 48 + -2z Combine like terms: -48 + 48 = 0 0 + Z + -4z = -6 + 48 + -2z Z + -4z = -6 + 48 + -2z Combine like terms: -6 + 48 = 42 Z + -4z = 42 + -2z Add '4z' to each side of the equation. Z + -4z + 4z = 42 + -2z + 4z Combine like terms: -4z + 4z = 0 Z + 0 = 42 + -2z + 4z Z = 42 + -2z + 4z Combine like terms: -2z + 4z = 2z Z = 42 + 2z Simplifying Z = 42 + 2z
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