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Simplifying 8 + -14f + 14 = -14 + 8(-4f + -18) Reorder the terms: 8 + 14 + -14f = -14 + 8(-4f + -18) Combine like terms: 8 + 14 = 22 22 + -14f = -14 + 8(-4f + -18) Reorder the terms: 22 + -14f = -14 + 8(-18 + -4f) 22 + -14f = -14 + (-18 * 8 + -4f * 8) 22 + -14f = -14 + (-144 + -32f) Combine like terms: -14 + -144 = -158 22 + -14f = -158 + -32f Solving 22 + -14f = -158 + -32f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '32f' to each side of the equation. 22 + -14f + 32f = -158 + -32f + 32f Combine like terms: -14f + 32f = 18f 22 + 18f = -158 + -32f + 32f Combine like terms: -32f + 32f = 0 22 + 18f = -158 + 0 22 + 18f = -158 Add '-22' to each side of the equation. 22 + -22 + 18f = -158 + -22 Combine like terms: 22 + -22 = 0 0 + 18f = -158 + -22 18f = -158 + -22 Combine like terms: -158 + -22 = -180 18f = -180 Divide each side by '18'. f = -10 Simplifying f = -10
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