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Simplifying 4g + g + 1 = 7(g + -1) Reorder the terms: 1 + 4g + g = 7(g + -1) Combine like terms: 4g + g = 5g 1 + 5g = 7(g + -1) Reorder the terms: 1 + 5g = 7(-1 + g) 1 + 5g = (-1 * 7 + g * 7) 1 + 5g = (-7 + 7g) Solving 1 + 5g = -7 + 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. 1 + 5g + -7g = -7 + 7g + -7g Combine like terms: 5g + -7g = -2g 1 + -2g = -7 + 7g + -7g Combine like terms: 7g + -7g = 0 1 + -2g = -7 + 0 1 + -2g = -7 Add '-1' to each side of the equation. 1 + -1 + -2g = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = -7 + -1 -2g = -7 + -1 Combine like terms: -7 + -1 = -8 -2g = -8 Divide each side by '-2'. g = 4 Simplifying g = 4
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