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Simplifying 4f + -7(-4f + -19) = -15 + -7 + f Reorder the terms: 4f + -7(-19 + -4f) = -15 + -7 + f 4f + (-19 * -7 + -4f * -7) = -15 + -7 + f 4f + (133 + 28f) = -15 + -7 + f Reorder the terms: 133 + 4f + 28f = -15 + -7 + f Combine like terms: 4f + 28f = 32f 133 + 32f = -15 + -7 + f Combine like terms: -15 + -7 = -22 133 + 32f = -22 + f Solving 133 + 32f = -22 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 133 + 32f + -1f = -22 + f + -1f Combine like terms: 32f + -1f = 31f 133 + 31f = -22 + f + -1f Combine like terms: f + -1f = 0 133 + 31f = -22 + 0 133 + 31f = -22 Add '-133' to each side of the equation. 133 + -133 + 31f = -22 + -133 Combine like terms: 133 + -133 = 0 0 + 31f = -22 + -133 31f = -22 + -133 Combine like terms: -22 + -133 = -155 31f = -155 Divide each side by '31'. f = -5 Simplifying f = -5
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