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Simplifying 2(6 + -4z) + -2(2z + 8) = z + -8 (6 * 2 + -4z * 2) + -2(2z + 8) = z + -8 (12 + -8z) + -2(2z + 8) = z + -8 Reorder the terms: 12 + -8z + -2(8 + 2z) = z + -8 12 + -8z + (8 * -2 + 2z * -2) = z + -8 12 + -8z + (-16 + -4z) = z + -8 Reorder the terms: 12 + -16 + -8z + -4z = z + -8 Combine like terms: 12 + -16 = -4 -4 + -8z + -4z = z + -8 Combine like terms: -8z + -4z = -12z -4 + -12z = z + -8 Reorder the terms: -4 + -12z = -8 + z Solving -4 + -12z = -8 + 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. -4 + -12z + -1z = -8 + z + -1z Combine like terms: -12z + -1z = -13z -4 + -13z = -8 + z + -1z Combine like terms: z + -1z = 0 -4 + -13z = -8 + 0 -4 + -13z = -8 Add '4' to each side of the equation. -4 + 4 + -13z = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -13z = -8 + 4 -13z = -8 + 4 Combine like terms: -8 + 4 = -4 -13z = -4 Divide each side by '-13'. z = 0.3076923077 Simplifying z = 0.3076923077
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