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Simplifying 2(f + -3) + -2.7 = 3(f + 1.1) Reorder the terms: 2(-3 + f) + -2.7 = 3(f + 1.1) (-3 * 2 + f * 2) + -2.7 = 3(f + 1.1) (-6 + 2f) + -2.7 = 3(f + 1.1) Reorder the terms: -6 + -2.7 + 2f = 3(f + 1.1) Combine like terms: -6 + -2.7 = -8.7 -8.7 + 2f = 3(f + 1.1) Reorder the terms: -8.7 + 2f = 3(1.1 + f) -8.7 + 2f = (1.1 * 3 + f * 3) -8.7 + 2f = (3.3 + 3f) Solving -8.7 + 2f = 3.3 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -8.7 + 2f + -3f = 3.3 + 3f + -3f Combine like terms: 2f + -3f = -1f -8.7 + -1f = 3.3 + 3f + -3f Combine like terms: 3f + -3f = 0 -8.7 + -1f = 3.3 + 0 -8.7 + -1f = 3.3 Add '8.7' to each side of the equation. -8.7 + 8.7 + -1f = 3.3 + 8.7 Combine like terms: -8.7 + 8.7 = 0.0 0.0 + -1f = 3.3 + 8.7 -1f = 3.3 + 8.7 Combine like terms: 3.3 + 8.7 = 12 -1f = 12 Divide each side by '-1'. f = -12 Simplifying f = -12
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