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Simplifying 5(f + -3) + 8 = -42 Reorder the terms: 5(-3 + f) + 8 = -42 (-3 * 5 + f * 5) + 8 = -42 (-15 + 5f) + 8 = -42 Reorder the terms: -15 + 8 + 5f = -42 Combine like terms: -15 + 8 = -7 -7 + 5f = -42 Solving -7 + 5f = -42 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5f = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 5f = -42 + 7 5f = -42 + 7 Combine like terms: -42 + 7 = -35 5f = -35 Divide each side by '5'. f = -7 Simplifying f = -7
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