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Simplifying -6(-19f + -8) = -12 + -6(-17f + 20) Reorder the terms: -6(-8 + -19f) = -12 + -6(-17f + 20) (-8 * -6 + -19f * -6) = -12 + -6(-17f + 20) (48 + 114f) = -12 + -6(-17f + 20) Reorder the terms: 48 + 114f = -12 + -6(20 + -17f) 48 + 114f = -12 + (20 * -6 + -17f * -6) 48 + 114f = -12 + (-120 + 102f) Combine like terms: -12 + -120 = -132 48 + 114f = -132 + 102f Solving 48 + 114f = -132 + 102f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-102f' to each side of the equation. 48 + 114f + -102f = -132 + 102f + -102f Combine like terms: 114f + -102f = 12f 48 + 12f = -132 + 102f + -102f Combine like terms: 102f + -102f = 0 48 + 12f = -132 + 0 48 + 12f = -132 Add '-48' to each side of the equation. 48 + -48 + 12f = -132 + -48 Combine like terms: 48 + -48 = 0 0 + 12f = -132 + -48 12f = -132 + -48 Combine like terms: -132 + -48 = -180 12f = -180 Divide each side by '12'. f = -15 Simplifying f = -15
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