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Simplifying 5(g + -13) = 6g + 12 Reorder the terms: 5(-13 + g) = 6g + 12 (-13 * 5 + g * 5) = 6g + 12 (-65 + 5g) = 6g + 12 Reorder the terms: -65 + 5g = 12 + 6g Solving -65 + 5g = 12 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -65 + 5g + -6g = 12 + 6g + -6g Combine like terms: 5g + -6g = -1g -65 + -1g = 12 + 6g + -6g Combine like terms: 6g + -6g = 0 -65 + -1g = 12 + 0 -65 + -1g = 12 Add '65' to each side of the equation. -65 + 65 + -1g = 12 + 65 Combine like terms: -65 + 65 = 0 0 + -1g = 12 + 65 -1g = 12 + 65 Combine like terms: 12 + 65 = 77 -1g = 77 Divide each side by '-1'. g = -77 Simplifying g = -77
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