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Simplifying -2 + 4g + -1(7 + -2g) + 3(-5g + -7) = 2 + -5(g + 6) -2 + 4g + (7 * -1 + -2g * -1) + 3(-5g + -7) = 2 + -5(g + 6) -2 + 4g + (-7 + 2g) + 3(-5g + -7) = 2 + -5(g + 6) Reorder the terms: -2 + 4g + -7 + 2g + 3(-7 + -5g) = 2 + -5(g + 6) -2 + 4g + -7 + 2g + (-7 * 3 + -5g * 3) = 2 + -5(g + 6) -2 + 4g + -7 + 2g + (-21 + -15g) = 2 + -5(g + 6) Reorder the terms: -2 + -7 + -21 + 4g + 2g + -15g = 2 + -5(g + 6) Combine like terms: -2 + -7 = -9 -9 + -21 + 4g + 2g + -15g = 2 + -5(g + 6) Combine like terms: -9 + -21 = -30 -30 + 4g + 2g + -15g = 2 + -5(g + 6) Combine like terms: 4g + 2g = 6g -30 + 6g + -15g = 2 + -5(g + 6) Combine like terms: 6g + -15g = -9g -30 + -9g = 2 + -5(g + 6) Reorder the terms: -30 + -9g = 2 + -5(6 + g) -30 + -9g = 2 + (6 * -5 + g * -5) -30 + -9g = 2 + (-30 + -5g) Combine like terms: 2 + -30 = -28 -30 + -9g = -28 + -5g Solving -30 + -9g = -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. -30 + -9g + 5g = -28 + -5g + 5g Combine like terms: -9g + 5g = -4g -30 + -4g = -28 + -5g + 5g Combine like terms: -5g + 5g = 0 -30 + -4g = -28 + 0 -30 + -4g = -28 Add '30' to each side of the equation. -30 + 30 + -4g = -28 + 30 Combine like terms: -30 + 30 = 0 0 + -4g = -28 + 30 -4g = -28 + 30 Combine like terms: -28 + 30 = 2 -4g = 2 Divide each side by '-4'. g = -0.5 Simplifying g = -0.5
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