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Simplifying -2(g + 5g) + -4(8f + -1(-12g)) = 0 Combine like terms: g + 5g = 6g -2(6g) + -4(8f + -1(-12g)) = 0 Remove parenthesis around (6g) -2 * 6g + -4(8f + -1(-12g)) = 0 Multiply -2 * 6 -12g + -4(8f + -1(-12g)) = 0 Remove parenthesis around (-12g) -12g + -4(8f + -1 * -12g) = 0 Multiply -1 * -12 -12g + -4(8f + 12g) = 0 -12g + (8f * -4 + 12g * -4) = 0 -12g + (-32f + -48g) = 0 Reorder the terms: -32f + -12g + -48g = 0 Combine like terms: -12g + -48g = -60g -32f + -60g = 0 Solving -32f + -60g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '60g' to each side of the equation. -32f + -60g + 60g = 0 + 60g Combine like terms: -60g + 60g = 0 -32f + 0 = 0 + 60g -32f = 0 + 60g Remove the zero: -32f = 60g Divide each side by '-32'. f = -1.875g Simplifying f = -1.875g
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