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Simplifying 5(f + -2) + -3(2f + 5) + 15 = 0 Reorder the terms: 5(-2 + f) + -3(2f + 5) + 15 = 0 (-2 * 5 + f * 5) + -3(2f + 5) + 15 = 0 (-10 + 5f) + -3(2f + 5) + 15 = 0 Reorder the terms: -10 + 5f + -3(5 + 2f) + 15 = 0 -10 + 5f + (5 * -3 + 2f * -3) + 15 = 0 -10 + 5f + (-15 + -6f) + 15 = 0 Reorder the terms: -10 + -15 + 15 + 5f + -6f = 0 Combine like terms: -10 + -15 = -25 -25 + 15 + 5f + -6f = 0 Combine like terms: -25 + 15 = -10 -10 + 5f + -6f = 0 Combine like terms: 5f + -6f = -1f -10 + -1f = 0 Solving -10 + -1f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1f = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1f = 0 + 10 -1f = 0 + 10 Combine like terms: 0 + 10 = 10 -1f = 10 Divide each side by '-1'. f = -10 Simplifying f = -10
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