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Simplifying -1(4 + -3g) = 7(2g + 1) (4 * -1 + -3g * -1) = 7(2g + 1) (-4 + 3g) = 7(2g + 1) Reorder the terms: -4 + 3g = 7(1 + 2g) -4 + 3g = (1 * 7 + 2g * 7) -4 + 3g = (7 + 14g) Solving -4 + 3g = 7 + 14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g' to each side of the equation. -4 + 3g + -14g = 7 + 14g + -14g Combine like terms: 3g + -14g = -11g -4 + -11g = 7 + 14g + -14g Combine like terms: 14g + -14g = 0 -4 + -11g = 7 + 0 -4 + -11g = 7 Add '4' to each side of the equation. -4 + 4 + -11g = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -11g = 7 + 4 -11g = 7 + 4 Combine like terms: 7 + 4 = 11 -11g = 11 Divide each side by '-11'. g = -1 Simplifying g = -1
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