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Simplifying 3(g + -7) = 2(g + 10) Reorder the terms: 3(-7 + g) = 2(g + 10) (-7 * 3 + g * 3) = 2(g + 10) (-21 + 3g) = 2(g + 10) Reorder the terms: -21 + 3g = 2(10 + g) -21 + 3g = (10 * 2 + g * 2) -21 + 3g = (20 + 2g) Solving -21 + 3g = 20 + 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. -21 + 3g + -2g = 20 + 2g + -2g Combine like terms: 3g + -2g = 1g -21 + 1g = 20 + 2g + -2g Combine like terms: 2g + -2g = 0 -21 + 1g = 20 + 0 -21 + 1g = 20 Add '21' to each side of the equation. -21 + 21 + 1g = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 1g = 20 + 21 1g = 20 + 21 Combine like terms: 20 + 21 = 41 1g = 41 Divide each side by '1'. g = 41 Simplifying g = 41
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