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Simplifying 2(g + -1) = 5g + -17 Reorder the terms: 2(-1 + g) = 5g + -17 (-1 * 2 + g * 2) = 5g + -17 (-2 + 2g) = 5g + -17 Reorder the terms: -2 + 2g = -17 + 5g Solving -2 + 2g = -17 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -2 + 2g + -5g = -17 + 5g + -5g Combine like terms: 2g + -5g = -3g -2 + -3g = -17 + 5g + -5g Combine like terms: 5g + -5g = 0 -2 + -3g = -17 + 0 -2 + -3g = -17 Add '2' to each side of the equation. -2 + 2 + -3g = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -3g = -17 + 2 -3g = -17 + 2 Combine like terms: -17 + 2 = -15 -3g = -15 Divide each side by '-3'. g = 5 Simplifying g = 5
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