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Simplifying 7(-1f + -6) = -6(-6f + -14) + 3 Reorder the terms: 7(-6 + -1f) = -6(-6f + -14) + 3 (-6 * 7 + -1f * 7) = -6(-6f + -14) + 3 (-42 + -7f) = -6(-6f + -14) + 3 Reorder the terms: -42 + -7f = -6(-14 + -6f) + 3 -42 + -7f = (-14 * -6 + -6f * -6) + 3 -42 + -7f = (84 + 36f) + 3 Reorder the terms: -42 + -7f = 84 + 3 + 36f Combine like terms: 84 + 3 = 87 -42 + -7f = 87 + 36f Solving -42 + -7f = 87 + 36f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-36f' to each side of the equation. -42 + -7f + -36f = 87 + 36f + -36f Combine like terms: -7f + -36f = -43f -42 + -43f = 87 + 36f + -36f Combine like terms: 36f + -36f = 0 -42 + -43f = 87 + 0 -42 + -43f = 87 Add '42' to each side of the equation. -42 + 42 + -43f = 87 + 42 Combine like terms: -42 + 42 = 0 0 + -43f = 87 + 42 -43f = 87 + 42 Combine like terms: 87 + 42 = 129 -43f = 129 Divide each side by '-43'. f = -3 Simplifying f = -3
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