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Simplifying 5(g + -7) + 2(g + -5) = 0 Reorder the terms: 5(-7 + g) + 2(g + -5) = 0 (-7 * 5 + g * 5) + 2(g + -5) = 0 (-35 + 5g) + 2(g + -5) = 0 Reorder the terms: -35 + 5g + 2(-5 + g) = 0 -35 + 5g + (-5 * 2 + g * 2) = 0 -35 + 5g + (-10 + 2g) = 0 Reorder the terms: -35 + -10 + 5g + 2g = 0 Combine like terms: -35 + -10 = -45 -45 + 5g + 2g = 0 Combine like terms: 5g + 2g = 7g -45 + 7g = 0 Solving -45 + 7g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 7g = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 7g = 0 + 45 7g = 0 + 45 Combine like terms: 0 + 45 = 45 7g = 45 Divide each side by '7'. g = 6.428571429 Simplifying g = 6.428571429
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