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Simplifying -3(g + -12) + -30 = 21 + -2g Reorder the terms: -3(-12 + g) + -30 = 21 + -2g (-12 * -3 + g * -3) + -30 = 21 + -2g (36 + -3g) + -30 = 21 + -2g Reorder the terms: 36 + -30 + -3g = 21 + -2g Combine like terms: 36 + -30 = 6 6 + -3g = 21 + -2g Solving 6 + -3g = 21 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. 6 + -3g + 2g = 21 + -2g + 2g Combine like terms: -3g + 2g = -1g 6 + -1g = 21 + -2g + 2g Combine like terms: -2g + 2g = 0 6 + -1g = 21 + 0 6 + -1g = 21 Add '-6' to each side of the equation. 6 + -6 + -1g = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -1g = 21 + -6 -1g = 21 + -6 Combine like terms: 21 + -6 = 15 -1g = 15 Divide each side by '-1'. g = -15 Simplifying g = -15
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