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Simplifying -5g + -1(11 + -2g) = -1(g + 8) + 5 -5g + (11 * -1 + -2g * -1) = -1(g + 8) + 5 -5g + (-11 + 2g) = -1(g + 8) + 5 Reorder the terms: -11 + -5g + 2g = -1(g + 8) + 5 Combine like terms: -5g + 2g = -3g -11 + -3g = -1(g + 8) + 5 Reorder the terms: -11 + -3g = -1(8 + g) + 5 -11 + -3g = (8 * -1 + g * -1) + 5 -11 + -3g = (-8 + -1g) + 5 Reorder the terms: -11 + -3g = -8 + 5 + -1g Combine like terms: -8 + 5 = -3 -11 + -3g = -3 + -1g Solving -11 + -3g = -3 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -11 + -3g + g = -3 + -1g + g Combine like terms: -3g + g = -2g -11 + -2g = -3 + -1g + g Combine like terms: -1g + g = 0 -11 + -2g = -3 + 0 -11 + -2g = -3 Add '11' to each side of the equation. -11 + 11 + -2g = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -2g = -3 + 11 -2g = -3 + 11 Combine like terms: -3 + 11 = 8 -2g = 8 Divide each side by '-2'. g = -4 Simplifying g = -4
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