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Simplifying 32 = -3 + 7(f + 6) Reorder the terms: 32 = -3 + 7(6 + f) 32 = -3 + (6 * 7 + f * 7) 32 = -3 + (42 + 7f) Combine like terms: -3 + 42 = 39 32 = 39 + 7f Solving 32 = 39 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 32 + -7f = 39 + 7f + -7f Combine like terms: 7f + -7f = 0 32 + -7f = 39 + 0 32 + -7f = 39 Add '-32' to each side of the equation. 32 + -32 + -7f = 39 + -32 Combine like terms: 32 + -32 = 0 0 + -7f = 39 + -32 -7f = 39 + -32 Combine like terms: 39 + -32 = 7 -7f = 7 Divide each side by '-7'. f = -1 Simplifying f = -1
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