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Simplifying 6g + 4(11g + -14) = -8(-6g + -16) Reorder the terms: 6g + 4(-14 + 11g) = -8(-6g + -16) 6g + (-14 * 4 + 11g * 4) = -8(-6g + -16) 6g + (-56 + 44g) = -8(-6g + -16) Reorder the terms: -56 + 6g + 44g = -8(-6g + -16) Combine like terms: 6g + 44g = 50g -56 + 50g = -8(-6g + -16) Reorder the terms: -56 + 50g = -8(-16 + -6g) -56 + 50g = (-16 * -8 + -6g * -8) -56 + 50g = (128 + 48g) Solving -56 + 50g = 128 + 48g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48g' to each side of the equation. -56 + 50g + -48g = 128 + 48g + -48g Combine like terms: 50g + -48g = 2g -56 + 2g = 128 + 48g + -48g Combine like terms: 48g + -48g = 0 -56 + 2g = 128 + 0 -56 + 2g = 128 Add '56' to each side of the equation. -56 + 56 + 2g = 128 + 56 Combine like terms: -56 + 56 = 0 0 + 2g = 128 + 56 2g = 128 + 56 Combine like terms: 128 + 56 = 184 2g = 184 Divide each side by '2'. g = 92 Simplifying g = 92
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