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Simplifying 5g + 14 = 4 + 2(g + -10) Reorder the terms: 14 + 5g = 4 + 2(g + -10) Reorder the terms: 14 + 5g = 4 + 2(-10 + g) 14 + 5g = 4 + (-10 * 2 + g * 2) 14 + 5g = 4 + (-20 + 2g) Combine like terms: 4 + -20 = -16 14 + 5g = -16 + 2g Solving 14 + 5g = -16 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. 14 + 5g + -2g = -16 + 2g + -2g Combine like terms: 5g + -2g = 3g 14 + 3g = -16 + 2g + -2g Combine like terms: 2g + -2g = 0 14 + 3g = -16 + 0 14 + 3g = -16 Add '-14' to each side of the equation. 14 + -14 + 3g = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 3g = -16 + -14 3g = -16 + -14 Combine like terms: -16 + -14 = -30 3g = -30 Divide each side by '3'. g = -10 Simplifying g = -10
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