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Simplifying 7 + 19f = 35 + 12f Solving 7 + 19f = 35 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 7 + 19f + -12f = 35 + 12f + -12f Combine like terms: 19f + -12f = 7f 7 + 7f = 35 + 12f + -12f Combine like terms: 12f + -12f = 0 7 + 7f = 35 + 0 7 + 7f = 35 Add '-7' to each side of the equation. 7 + -7 + 7f = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 7f = 35 + -7 7f = 35 + -7 Combine like terms: 35 + -7 = 28 7f = 28 Divide each side by '7'. f = 4 Simplifying f = 4
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