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Simplifying 5(f + -3) = 6f + 7 Reorder the terms: 5(-3 + f) = 6f + 7 (-3 * 5 + f * 5) = 6f + 7 (-15 + 5f) = 6f + 7 Reorder the terms: -15 + 5f = 7 + 6f Solving -15 + 5f = 7 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. -15 + 5f + -6f = 7 + 6f + -6f Combine like terms: 5f + -6f = -1f -15 + -1f = 7 + 6f + -6f Combine like terms: 6f + -6f = 0 -15 + -1f = 7 + 0 -15 + -1f = 7 Add '15' to each side of the equation. -15 + 15 + -1f = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -1f = 7 + 15 -1f = 7 + 15 Combine like terms: 7 + 15 = 22 -1f = 22 Divide each side by '-1'. f = -22 Simplifying f = -22
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