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Simplifying -5(g + 1) = 4(g + 10) Reorder the terms: -5(1 + g) = 4(g + 10) (1 * -5 + g * -5) = 4(g + 10) (-5 + -5g) = 4(g + 10) Reorder the terms: -5 + -5g = 4(10 + g) -5 + -5g = (10 * 4 + g * 4) -5 + -5g = (40 + 4g) Solving -5 + -5g = 40 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. -5 + -5g + -4g = 40 + 4g + -4g Combine like terms: -5g + -4g = -9g -5 + -9g = 40 + 4g + -4g Combine like terms: 4g + -4g = 0 -5 + -9g = 40 + 0 -5 + -9g = 40 Add '5' to each side of the equation. -5 + 5 + -9g = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -9g = 40 + 5 -9g = 40 + 5 Combine like terms: 40 + 5 = 45 -9g = 45 Divide each side by '-9'. g = -5 Simplifying g = -5
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