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Simplifying 2(g + -5) = 6(g + 3) Reorder the terms: 2(-5 + g) = 6(g + 3) (-5 * 2 + g * 2) = 6(g + 3) (-10 + 2g) = 6(g + 3) Reorder the terms: -10 + 2g = 6(3 + g) -10 + 2g = (3 * 6 + g * 6) -10 + 2g = (18 + 6g) Solving -10 + 2g = 18 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -10 + 2g + -6g = 18 + 6g + -6g Combine like terms: 2g + -6g = -4g -10 + -4g = 18 + 6g + -6g Combine like terms: 6g + -6g = 0 -10 + -4g = 18 + 0 -10 + -4g = 18 Add '10' to each side of the equation. -10 + 10 + -4g = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -4g = 18 + 10 -4g = 18 + 10 Combine like terms: 18 + 10 = 28 -4g = 28 Divide each side by '-4'. g = -7 Simplifying g = -7
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