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Simplifying -6(2f + 1) + -3 = 7(f + -4) Reorder the terms: -6(1 + 2f) + -3 = 7(f + -4) (1 * -6 + 2f * -6) + -3 = 7(f + -4) (-6 + -12f) + -3 = 7(f + -4) Reorder the terms: -6 + -3 + -12f = 7(f + -4) Combine like terms: -6 + -3 = -9 -9 + -12f = 7(f + -4) Reorder the terms: -9 + -12f = 7(-4 + f) -9 + -12f = (-4 * 7 + f * 7) -9 + -12f = (-28 + 7f) Solving -9 + -12f = -28 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -9 + -12f + -7f = -28 + 7f + -7f Combine like terms: -12f + -7f = -19f -9 + -19f = -28 + 7f + -7f Combine like terms: 7f + -7f = 0 -9 + -19f = -28 + 0 -9 + -19f = -28 Add '9' to each side of the equation. -9 + 9 + -19f = -28 + 9 Combine like terms: -9 + 9 = 0 0 + -19f = -28 + 9 -19f = -28 + 9 Combine like terms: -28 + 9 = -19 -19f = -19 Divide each side by '-19'. f = 1 Simplifying f = 1
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