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Simplifying 5(6 + -7) + 2[g + -3(g + -5)] = 0 Combine like terms: 6 + -7 = -1 5(-1) + 2[g + -3(g + -5)] = 0 Multiply 5 * -1 -5 + 2[g + -3(g + -5)] = 0 Reorder the terms: -5 + 2[g + -3(-5 + g)] = 0 -5 + 2[g + (-5 * -3 + g * -3)] = 0 -5 + 2[g + (15 + -3g)] = 0 Reorder the terms: -5 + 2[15 + g + -3g] = 0 Combine like terms: g + -3g = -2g -5 + 2[15 + -2g] = 0 -5 + [15 * 2 + -2g * 2] = 0 -5 + [30 + -4g] = 0 Combine like terms: -5 + 30 = 25 25 + -4g = 0 Solving 25 + -4g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4g = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4g = 0 + -25 -4g = 0 + -25 Combine like terms: 0 + -25 = -25 -4g = -25 Divide each side by '-4'. g = 6.25 Simplifying g = 6.25
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