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Simplifying -20 + -19f + -20 = -2(12f + -15) + -2f Reorder the terms: -20 + -20 + -19f = -2(12f + -15) + -2f Combine like terms: -20 + -20 = -40 -40 + -19f = -2(12f + -15) + -2f Reorder the terms: -40 + -19f = -2(-15 + 12f) + -2f -40 + -19f = (-15 * -2 + 12f * -2) + -2f -40 + -19f = (30 + -24f) + -2f Combine like terms: -24f + -2f = -26f -40 + -19f = 30 + -26f Solving -40 + -19f = 30 + -26f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '26f' to each side of the equation. -40 + -19f + 26f = 30 + -26f + 26f Combine like terms: -19f + 26f = 7f -40 + 7f = 30 + -26f + 26f Combine like terms: -26f + 26f = 0 -40 + 7f = 30 + 0 -40 + 7f = 30 Add '40' to each side of the equation. -40 + 40 + 7f = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 7f = 30 + 40 7f = 30 + 40 Combine like terms: 30 + 40 = 70 7f = 70 Divide each side by '7'. f = 10 Simplifying f = 10
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