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Simplifying (g + -7) + 2[g + -3(g + -5)] = 0 Reorder the terms: (-7 + g) + 2[g + -3(g + -5)] = 0 Remove parenthesis around (-7 + g) -7 + g + 2[g + -3(g + -5)] = 0 Reorder the terms: -7 + g + 2[g + -3(-5 + g)] = 0 -7 + g + 2[g + (-5 * -3 + g * -3)] = 0 -7 + g + 2[g + (15 + -3g)] = 0 Reorder the terms: -7 + g + 2[15 + g + -3g] = 0 Combine like terms: g + -3g = -2g -7 + g + 2[15 + -2g] = 0 -7 + g + [15 * 2 + -2g * 2] = 0 -7 + g + [30 + -4g] = 0 Reorder the terms: -7 + 30 + g + -4g = 0 Combine like terms: -7 + 30 = 23 23 + g + -4g = 0 Combine like terms: g + -4g = -3g 23 + -3g = 0 Solving 23 + -3g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3g = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3g = 0 + -23 -3g = 0 + -23 Combine like terms: 0 + -23 = -23 -3g = -23 Divide each side by '-3'. g = 7.666666667 Simplifying g = 7.666666667
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