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Simplifying 8(-6f + -11) + -12 = 4 + -19f + -16f Reorder the terms: 8(-11 + -6f) + -12 = 4 + -19f + -16f (-11 * 8 + -6f * 8) + -12 = 4 + -19f + -16f (-88 + -48f) + -12 = 4 + -19f + -16f Reorder the terms: -88 + -12 + -48f = 4 + -19f + -16f Combine like terms: -88 + -12 = -100 -100 + -48f = 4 + -19f + -16f Combine like terms: -19f + -16f = -35f -100 + -48f = 4 + -35f Solving -100 + -48f = 4 + -35f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '35f' to each side of the equation. -100 + -48f + 35f = 4 + -35f + 35f Combine like terms: -48f + 35f = -13f -100 + -13f = 4 + -35f + 35f Combine like terms: -35f + 35f = 0 -100 + -13f = 4 + 0 -100 + -13f = 4 Add '100' to each side of the equation. -100 + 100 + -13f = 4 + 100 Combine like terms: -100 + 100 = 0 0 + -13f = 4 + 100 -13f = 4 + 100 Combine like terms: 4 + 100 = 104 -13f = 104 Divide each side by '-13'. f = -8 Simplifying f = -8
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