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Simplifying -2 + 4g + -1(7 + -2g) + 3(-5 + -7) = 2 + -5(g + 6) -2 + 4g + (7 * -1 + -2g * -1) + 3(-5 + -7) = 2 + -5(g + 6) -2 + 4g + (-7 + 2g) + 3(-5 + -7) = 2 + -5(g + 6) Combine like terms: -5 + -7 = -12 -2 + 4g + -7 + 2g + 3(-12) = 2 + -5(g + 6) Multiply 3 * -12 -2 + 4g + -7 + 2g + -36 = 2 + -5(g + 6) Reorder the terms: -2 + -7 + -36 + 4g + 2g = 2 + -5(g + 6) Combine like terms: -2 + -7 = -9 -9 + -36 + 4g + 2g = 2 + -5(g + 6) Combine like terms: -9 + -36 = -45 -45 + 4g + 2g = 2 + -5(g + 6) Combine like terms: 4g + 2g = 6g -45 + 6g = 2 + -5(g + 6) Reorder the terms: -45 + 6g = 2 + -5(6 + g) -45 + 6g = 2 + (6 * -5 + g * -5) -45 + 6g = 2 + (-30 + -5g) Combine like terms: 2 + -30 = -28 -45 + 6g = -28 + -5g Solving -45 + 6g = -28 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. -45 + 6g + 5g = -28 + -5g + 5g Combine like terms: 6g + 5g = 11g -45 + 11g = -28 + -5g + 5g Combine like terms: -5g + 5g = 0 -45 + 11g = -28 + 0 -45 + 11g = -28 Add '45' to each side of the equation. -45 + 45 + 11g = -28 + 45 Combine like terms: -45 + 45 = 0 0 + 11g = -28 + 45 11g = -28 + 45 Combine like terms: -28 + 45 = 17 11g = 17 Divide each side by '11'. g = 1.545454545 Simplifying g = 1.545454545
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