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Simplifying 5g + -35 + 2g + -6(g + -5) = 0 Reorder the terms: 5g + -35 + 2g + -6(-5 + g) = 0 5g + -35 + 2g + (-5 * -6 + g * -6) = 0 5g + -35 + 2g + (30 + -6g) = 0 Reorder the terms: -35 + 30 + 5g + 2g + -6g = 0 Combine like terms: -35 + 30 = -5 -5 + 5g + 2g + -6g = 0 Combine like terms: 5g + 2g = 7g -5 + 7g + -6g = 0 Combine like terms: 7g + -6g = 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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