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Simplifying 19 = -6 + 8(f + -4) Reorder the terms: 19 = -6 + 8(-4 + f) 19 = -6 + (-4 * 8 + f * 8) 19 = -6 + (-32 + 8f) Combine like terms: -6 + -32 = -38 19 = -38 + 8f Solving 19 = -38 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 19 + -8f = -38 + 8f + -8f Combine like terms: 8f + -8f = 0 19 + -8f = -38 + 0 19 + -8f = -38 Add '-19' to each side of the equation. 19 + -19 + -8f = -38 + -19 Combine like terms: 19 + -19 = 0 0 + -8f = -38 + -19 -8f = -38 + -19 Combine like terms: -38 + -19 = -57 -8f = -57 Divide each side by '-8'. f = 7.125 Simplifying f = 7.125
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