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Simplifying -6 + -6(g + 2) = 2g + -1(4g + -10) Reorder the terms: -6 + -6(2 + g) = 2g + -1(4g + -10) -6 + (2 * -6 + g * -6) = 2g + -1(4g + -10) -6 + (-12 + -6g) = 2g + -1(4g + -10) Combine like terms: -6 + -12 = -18 -18 + -6g = 2g + -1(4g + -10) Reorder the terms: -18 + -6g = 2g + -1(-10 + 4g) -18 + -6g = 2g + (-10 * -1 + 4g * -1) -18 + -6g = 2g + (10 + -4g) Reorder the terms: -18 + -6g = 10 + 2g + -4g Combine like terms: 2g + -4g = -2g -18 + -6g = 10 + -2g Solving -18 + -6g = 10 + -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. -18 + -6g + 2g = 10 + -2g + 2g Combine like terms: -6g + 2g = -4g -18 + -4g = 10 + -2g + 2g Combine like terms: -2g + 2g = 0 -18 + -4g = 10 + 0 -18 + -4g = 10 Add '18' to each side of the equation. -18 + 18 + -4g = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4g = 10 + 18 -4g = 10 + 18 Combine like terms: 10 + 18 = 28 -4g = 28 Divide each side by '-4'. g = -7 Simplifying g = -7
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