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Simplifying 6g + -57 = 3[(-1) + 5g] Reorder the terms: -57 + 6g = 3[(-1) + 5g] -57 + 6g = 3[-1 + 5g] -57 + 6g = [-1 * 3 + 5g * 3] -57 + 6g = [-3 + 15g] Solving -57 + 6g = -3 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. -57 + 6g + -15g = -3 + 15g + -15g Combine like terms: 6g + -15g = -9g -57 + -9g = -3 + 15g + -15g Combine like terms: 15g + -15g = 0 -57 + -9g = -3 + 0 -57 + -9g = -3 Add '57' to each side of the equation. -57 + 57 + -9g = -3 + 57 Combine like terms: -57 + 57 = 0 0 + -9g = -3 + 57 -9g = -3 + 57 Combine like terms: -3 + 57 = 54 -9g = 54 Divide each side by '-9'. g = -6 Simplifying g = -6
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