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Simplifying -7f + -19 + -18 = -2(4f + 9) Reorder the terms: -19 + -18 + -7f = -2(4f + 9) Combine like terms: -19 + -18 = -37 -37 + -7f = -2(4f + 9) Reorder the terms: -37 + -7f = -2(9 + 4f) -37 + -7f = (9 * -2 + 4f * -2) -37 + -7f = (-18 + -8f) Solving -37 + -7f = -18 + -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. -37 + -7f + 8f = -18 + -8f + 8f Combine like terms: -7f + 8f = 1f -37 + 1f = -18 + -8f + 8f Combine like terms: -8f + 8f = 0 -37 + 1f = -18 + 0 -37 + 1f = -18 Add '37' to each side of the equation. -37 + 37 + 1f = -18 + 37 Combine like terms: -37 + 37 = 0 0 + 1f = -18 + 37 1f = -18 + 37 Combine like terms: -18 + 37 = 19 1f = 19 Divide each side by '1'. f = 19 Simplifying f = 19
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