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Simplifying 6(g + -14) + 5(g + -18) = 2 Reorder the terms: 6(-14 + g) + 5(g + -18) = 2 (-14 * 6 + g * 6) + 5(g + -18) = 2 (-84 + 6g) + 5(g + -18) = 2 Reorder the terms: -84 + 6g + 5(-18 + g) = 2 -84 + 6g + (-18 * 5 + g * 5) = 2 -84 + 6g + (-90 + 5g) = 2 Reorder the terms: -84 + -90 + 6g + 5g = 2 Combine like terms: -84 + -90 = -174 -174 + 6g + 5g = 2 Combine like terms: 6g + 5g = 11g -174 + 11g = 2 Solving -174 + 11g = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '174' to each side of the equation. -174 + 174 + 11g = 2 + 174 Combine like terms: -174 + 174 = 0 0 + 11g = 2 + 174 11g = 2 + 174 Combine like terms: 2 + 174 = 176 11g = 176 Divide each side by '11'. g = 16 Simplifying g = 16
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