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Simplifying 5(g + -2) + -1g = 6(g + -4) Reorder the terms: 5(-2 + g) + -1g = 6(g + -4) (-2 * 5 + g * 5) + -1g = 6(g + -4) (-10 + 5g) + -1g = 6(g + -4) Combine like terms: 5g + -1g = 4g -10 + 4g = 6(g + -4) Reorder the terms: -10 + 4g = 6(-4 + g) -10 + 4g = (-4 * 6 + g * 6) -10 + 4g = (-24 + 6g) Solving -10 + 4g = -24 + 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 + 4g + -6g = -24 + 6g + -6g Combine like terms: 4g + -6g = -2g -10 + -2g = -24 + 6g + -6g Combine like terms: 6g + -6g = 0 -10 + -2g = -24 + 0 -10 + -2g = -24 Add '10' to each side of the equation. -10 + 10 + -2g = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2g = -24 + 10 -2g = -24 + 10 Combine like terms: -24 + 10 = -14 -2g = -14 Divide each side by '-2'. g = 7 Simplifying g = 7
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