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Simplifying 8(g + -4) = 2(g + 14) Reorder the terms: 8(-4 + g) = 2(g + 14) (-4 * 8 + g * 8) = 2(g + 14) (-32 + 8g) = 2(g + 14) Reorder the terms: -32 + 8g = 2(14 + g) -32 + 8g = (14 * 2 + g * 2) -32 + 8g = (28 + 2g) Solving -32 + 8g = 28 + 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. -32 + 8g + -2g = 28 + 2g + -2g Combine like terms: 8g + -2g = 6g -32 + 6g = 28 + 2g + -2g Combine like terms: 2g + -2g = 0 -32 + 6g = 28 + 0 -32 + 6g = 28 Add '32' to each side of the equation. -32 + 32 + 6g = 28 + 32 Combine like terms: -32 + 32 = 0 0 + 6g = 28 + 32 6g = 28 + 32 Combine like terms: 28 + 32 = 60 6g = 60 Divide each side by '6'. g = 10 Simplifying g = 10
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