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Simplifying -4(14f + -11) + 20 = 4(-12f + -18) Reorder the terms: -4(-11 + 14f) + 20 = 4(-12f + -18) (-11 * -4 + 14f * -4) + 20 = 4(-12f + -18) (44 + -56f) + 20 = 4(-12f + -18) Reorder the terms: 44 + 20 + -56f = 4(-12f + -18) Combine like terms: 44 + 20 = 64 64 + -56f = 4(-12f + -18) Reorder the terms: 64 + -56f = 4(-18 + -12f) 64 + -56f = (-18 * 4 + -12f * 4) 64 + -56f = (-72 + -48f) Solving 64 + -56f = -72 + -48f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '48f' to each side of the equation. 64 + -56f + 48f = -72 + -48f + 48f Combine like terms: -56f + 48f = -8f 64 + -8f = -72 + -48f + 48f Combine like terms: -48f + 48f = 0 64 + -8f = -72 + 0 64 + -8f = -72 Add '-64' to each side of the equation. 64 + -64 + -8f = -72 + -64 Combine like terms: 64 + -64 = 0 0 + -8f = -72 + -64 -8f = -72 + -64 Combine like terms: -72 + -64 = -136 -8f = -136 Divide each side by '-8'. f = 17 Simplifying f = 17
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