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Simplifying 2(f + -3) + -10 = 7(f + 2) Reorder the terms: 2(-3 + f) + -10 = 7(f + 2) (-3 * 2 + f * 2) + -10 = 7(f + 2) (-6 + 2f) + -10 = 7(f + 2) Reorder the terms: -6 + -10 + 2f = 7(f + 2) Combine like terms: -6 + -10 = -16 -16 + 2f = 7(f + 2) Reorder the terms: -16 + 2f = 7(2 + f) -16 + 2f = (2 * 7 + f * 7) -16 + 2f = (14 + 7f) Solving -16 + 2f = 14 + 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. -16 + 2f + -7f = 14 + 7f + -7f Combine like terms: 2f + -7f = -5f -16 + -5f = 14 + 7f + -7f Combine like terms: 7f + -7f = 0 -16 + -5f = 14 + 0 -16 + -5f = 14 Add '16' to each side of the equation. -16 + 16 + -5f = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5f = 14 + 16 -5f = 14 + 16 Combine like terms: 14 + 16 = 30 -5f = 30 Divide each side by '-5'. f = -6 Simplifying f = -6
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