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Simplifying 5(g + -2) = 7(g + 4) Reorder the terms: 5(-2 + g) = 7(g + 4) (-2 * 5 + g * 5) = 7(g + 4) (-10 + 5g) = 7(g + 4) Reorder the terms: -10 + 5g = 7(4 + g) -10 + 5g = (4 * 7 + g * 7) -10 + 5g = (28 + 7g) Solving -10 + 5g = 28 + 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. -10 + 5g + -7g = 28 + 7g + -7g Combine like terms: 5g + -7g = -2g -10 + -2g = 28 + 7g + -7g Combine like terms: 7g + -7g = 0 -10 + -2g = 28 + 0 -10 + -2g = 28 Add '10' to each side of the equation. -10 + 10 + -2g = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -2g = 28 + 10 -2g = 28 + 10 Combine like terms: 28 + 10 = 38 -2g = 38 Divide each side by '-2'. g = -19 Simplifying g = -19
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