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Simplifying 5(g + -7) + 2[g + -3(g + -5)] = 0 Reorder the terms: 5(-7 + g) + 2[g + -3(g + -5)] = 0 (-7 * 5 + g * 5) + 2[g + -3(g + -5)] = 0 (-35 + 5g) + 2[g + -3(g + -5)] = 0 Reorder the terms: -35 + 5g + 2[g + -3(-5 + g)] = 0 -35 + 5g + 2[g + (-5 * -3 + g * -3)] = 0 -35 + 5g + 2[g + (15 + -3g)] = 0 Reorder the terms: -35 + 5g + 2[15 + g + -3g] = 0 Combine like terms: g + -3g = -2g -35 + 5g + 2[15 + -2g] = 0 -35 + 5g + [15 * 2 + -2g * 2] = 0 -35 + 5g + [30 + -4g] = 0 Reorder the terms: -35 + 30 + 5g + -4g = 0 Combine like terms: -35 + 30 = -5 -5 + 5g + -4g = 0 Combine like terms: 5g + -4g = 1g -5 + 1g = 0 Solving -5 + 1g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1g = 0 + 5 1g = 0 + 5 Combine like terms: 0 + 5 = 5 1g = 5 Divide each side by '1'. g = 5 Simplifying g = 5
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