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Simplifying -7 + -10f = 17 + -8f + 12 Reorder the terms: -7 + -10f = 17 + 12 + -8f Combine like terms: 17 + 12 = 29 -7 + -10f = 29 + -8f Solving -7 + -10f = 29 + -8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8f' to each side of the equation. -7 + -10f + 8f = 29 + -8f + 8f Combine like terms: -10f + 8f = -2f -7 + -2f = 29 + -8f + 8f Combine like terms: -8f + 8f = 0 -7 + -2f = 29 + 0 -7 + -2f = 29 Add '7' to each side of the equation. -7 + 7 + -2f = 29 + 7 Combine like terms: -7 + 7 = 0 0 + -2f = 29 + 7 -2f = 29 + 7 Combine like terms: 29 + 7 = 36 -2f = 36 Divide each side by '-2'. f = -18 Simplifying f = -18
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