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Simplifying 10(g + -3) + 6 = 6(g + 1) + 2 Reorder the terms: 10(-3 + g) + 6 = 6(g + 1) + 2 (-3 * 10 + g * 10) + 6 = 6(g + 1) + 2 (-30 + 10g) + 6 = 6(g + 1) + 2 Reorder the terms: -30 + 6 + 10g = 6(g + 1) + 2 Combine like terms: -30 + 6 = -24 -24 + 10g = 6(g + 1) + 2 Reorder the terms: -24 + 10g = 6(1 + g) + 2 -24 + 10g = (1 * 6 + g * 6) + 2 -24 + 10g = (6 + 6g) + 2 Reorder the terms: -24 + 10g = 6 + 2 + 6g Combine like terms: 6 + 2 = 8 -24 + 10g = 8 + 6g Solving -24 + 10g = 8 + 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. -24 + 10g + -6g = 8 + 6g + -6g Combine like terms: 10g + -6g = 4g -24 + 4g = 8 + 6g + -6g Combine like terms: 6g + -6g = 0 -24 + 4g = 8 + 0 -24 + 4g = 8 Add '24' to each side of the equation. -24 + 24 + 4g = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 4g = 8 + 24 4g = 8 + 24 Combine like terms: 8 + 24 = 32 4g = 32 Divide each side by '4'. g = 8 Simplifying g = 8
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