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Simplifying 4f + -7(2f + 2) = 2f + 10 Reorder the terms: 4f + -7(2 + 2f) = 2f + 10 4f + (2 * -7 + 2f * -7) = 2f + 10 4f + (-14 + -14f) = 2f + 10 Reorder the terms: -14 + 4f + -14f = 2f + 10 Combine like terms: 4f + -14f = -10f -14 + -10f = 2f + 10 Reorder the terms: -14 + -10f = 10 + 2f Solving -14 + -10f = 10 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -14 + -10f + -2f = 10 + 2f + -2f Combine like terms: -10f + -2f = -12f -14 + -12f = 10 + 2f + -2f Combine like terms: 2f + -2f = 0 -14 + -12f = 10 + 0 -14 + -12f = 10 Add '14' to each side of the equation. -14 + 14 + -12f = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -12f = 10 + 14 -12f = 10 + 14 Combine like terms: 10 + 14 = 24 -12f = 24 Divide each side by '-12'. f = -2 Simplifying f = -2
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