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Simplifying -7(f + -10) = 3f + 42 Reorder the terms: -7(-10 + f) = 3f + 42 (-10 * -7 + f * -7) = 3f + 42 (70 + -7f) = 3f + 42 Reorder the terms: 70 + -7f = 42 + 3f Solving 70 + -7f = 42 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 70 + -7f + -3f = 42 + 3f + -3f Combine like terms: -7f + -3f = -10f 70 + -10f = 42 + 3f + -3f Combine like terms: 3f + -3f = 0 70 + -10f = 42 + 0 70 + -10f = 42 Add '-70' to each side of the equation. 70 + -70 + -10f = 42 + -70 Combine like terms: 70 + -70 = 0 0 + -10f = 42 + -70 -10f = 42 + -70 Combine like terms: 42 + -70 = -28 -10f = -28 Divide each side by '-10'. f = 2.8 Simplifying f = 2.8
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