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Simplifying 6(2f + -13) = 5(10f + -8) Reorder the terms: 6(-13 + 2f) = 5(10f + -8) (-13 * 6 + 2f * 6) = 5(10f + -8) (-78 + 12f) = 5(10f + -8) Reorder the terms: -78 + 12f = 5(-8 + 10f) -78 + 12f = (-8 * 5 + 10f * 5) -78 + 12f = (-40 + 50f) Solving -78 + 12f = -40 + 50f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-50f' to each side of the equation. -78 + 12f + -50f = -40 + 50f + -50f Combine like terms: 12f + -50f = -38f -78 + -38f = -40 + 50f + -50f Combine like terms: 50f + -50f = 0 -78 + -38f = -40 + 0 -78 + -38f = -40 Add '78' to each side of the equation. -78 + 78 + -38f = -40 + 78 Combine like terms: -78 + 78 = 0 0 + -38f = -40 + 78 -38f = -40 + 78 Combine like terms: -40 + 78 = 38 -38f = 38 Divide each side by '-38'. f = -1 Simplifying f = -1
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