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Simplifying 4(g + 7) + -14(g + -3) = 0 Reorder the terms: 4(7 + g) + -14(g + -3) = 0 (7 * 4 + g * 4) + -14(g + -3) = 0 (28 + 4g) + -14(g + -3) = 0 Reorder the terms: 28 + 4g + -14(-3 + g) = 0 28 + 4g + (-3 * -14 + g * -14) = 0 28 + 4g + (42 + -14g) = 0 Reorder the terms: 28 + 42 + 4g + -14g = 0 Combine like terms: 28 + 42 = 70 70 + 4g + -14g = 0 Combine like terms: 4g + -14g = -10g 70 + -10g = 0 Solving 70 + -10g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -10g = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -10g = 0 + -70 -10g = 0 + -70 Combine like terms: 0 + -70 = -70 -10g = -70 Divide each side by '-10'. g = 7 Simplifying g = 7
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