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Simplifying 5g + -10 + -12 = 15g + 8(-2g + 10) Reorder the terms: -10 + -12 + 5g = 15g + 8(-2g + 10) Combine like terms: -10 + -12 = -22 -22 + 5g = 15g + 8(-2g + 10) Reorder the terms: -22 + 5g = 15g + 8(10 + -2g) -22 + 5g = 15g + (10 * 8 + -2g * 8) -22 + 5g = 15g + (80 + -16g) Reorder the terms: -22 + 5g = 80 + 15g + -16g Combine like terms: 15g + -16g = -1g -22 + 5g = 80 + -1g Solving -22 + 5g = 80 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -22 + 5g + g = 80 + -1g + g Combine like terms: 5g + g = 6g -22 + 6g = 80 + -1g + g Combine like terms: -1g + g = 0 -22 + 6g = 80 + 0 -22 + 6g = 80 Add '22' to each side of the equation. -22 + 22 + 6g = 80 + 22 Combine like terms: -22 + 22 = 0 0 + 6g = 80 + 22 6g = 80 + 22 Combine like terms: 80 + 22 = 102 6g = 102 Divide each side by '6'. g = 17 Simplifying g = 17
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