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Simplifying 2(5g + -3) + -6(g + -7) = g + 6(g + 7) Reorder the terms: 2(-3 + 5g) + -6(g + -7) = g + 6(g + 7) (-3 * 2 + 5g * 2) + -6(g + -7) = g + 6(g + 7) (-6 + 10g) + -6(g + -7) = g + 6(g + 7) Reorder the terms: -6 + 10g + -6(-7 + g) = g + 6(g + 7) -6 + 10g + (-7 * -6 + g * -6) = g + 6(g + 7) -6 + 10g + (42 + -6g) = g + 6(g + 7) Reorder the terms: -6 + 42 + 10g + -6g = g + 6(g + 7) Combine like terms: -6 + 42 = 36 36 + 10g + -6g = g + 6(g + 7) Combine like terms: 10g + -6g = 4g 36 + 4g = g + 6(g + 7) Reorder the terms: 36 + 4g = g + 6(7 + g) 36 + 4g = g + (7 * 6 + g * 6) 36 + 4g = g + (42 + 6g) Reorder the terms: 36 + 4g = 42 + g + 6g Combine like terms: g + 6g = 7g 36 + 4g = 42 + 7g Solving 36 + 4g = 42 + 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. 36 + 4g + -7g = 42 + 7g + -7g Combine like terms: 4g + -7g = -3g 36 + -3g = 42 + 7g + -7g Combine like terms: 7g + -7g = 0 36 + -3g = 42 + 0 36 + -3g = 42 Add '-36' to each side of the equation. 36 + -36 + -3g = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -3g = 42 + -36 -3g = 42 + -36 Combine like terms: 42 + -36 = 6 -3g = 6 Divide each side by '-3'. g = -2 Simplifying g = -2
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