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Simplifying 4.7(2f + -0.5) = -61(1.6f + -8.3f) Reorder the terms: 4.7(-0.5 + 2f) = -61(1.6f + -8.3f) (-0.5 * 4.7 + 2f * 4.7) = -61(1.6f + -8.3f) (-2.35 + 9.4f) = -61(1.6f + -8.3f) Combine like terms: 1.6f + -8.3f = -6.7f -2.35 + 9.4f = -61(-6.7f) Remove parenthesis around (-6.7f) -2.35 + 9.4f = -61 * -6.7f Multiply -61 * -6.7 -2.35 + 9.4f = 408.7f Solving -2.35 + 9.4f = 408.7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-408.7f' to each side of the equation. -2.35 + 9.4f + -408.7f = 408.7f + -408.7f Combine like terms: 9.4f + -408.7f = -399.3f -2.35 + -399.3f = 408.7f + -408.7f Combine like terms: 408.7f + -408.7f = 0.0 -2.35 + -399.3f = 0.0 Add '2.35' to each side of the equation. -2.35 + 2.35 + -399.3f = 0.0 + 2.35 Combine like terms: -2.35 + 2.35 = 0.00 0.00 + -399.3f = 0.0 + 2.35 -399.3f = 0.0 + 2.35 Combine like terms: 0.0 + 2.35 = 2.35 -399.3f = 2.35 Divide each side by '-399.3'. f = -0.005885299274 Simplifying f = -0.005885299274
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