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Simplifying 7f + 19 + -12f + 5z = 0 Reorder the terms: 19 + 7f + -12f + 5z = 0 Combine like terms: 7f + -12f = -5f 19 + -5f + 5z = 0 Solving 19 + -5f + 5z = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -5f + -19 + 5z = 0 + -19 Reorder the terms: 19 + -19 + -5f + 5z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5f + 5z = 0 + -19 -5f + 5z = 0 + -19 Combine like terms: 0 + -19 = -19 -5f + 5z = -19 Add '-5z' to each side of the equation. -5f + 5z + -5z = -19 + -5z Combine like terms: 5z + -5z = 0 -5f + 0 = -19 + -5z -5f = -19 + -5z Divide each side by '-5'. f = 3.8 + z Simplifying f = 3.8 + z
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