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Simplifying 5 + 3(g + -8) = 7g + 21 Reorder the terms: 5 + 3(-8 + g) = 7g + 21 5 + (-8 * 3 + g * 3) = 7g + 21 5 + (-24 + 3g) = 7g + 21 Combine like terms: 5 + -24 = -19 -19 + 3g = 7g + 21 Reorder the terms: -19 + 3g = 21 + 7g Solving -19 + 3g = 21 + 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. -19 + 3g + -7g = 21 + 7g + -7g Combine like terms: 3g + -7g = -4g -19 + -4g = 21 + 7g + -7g Combine like terms: 7g + -7g = 0 -19 + -4g = 21 + 0 -19 + -4g = 21 Add '19' to each side of the equation. -19 + 19 + -4g = 21 + 19 Combine like terms: -19 + 19 = 0 0 + -4g = 21 + 19 -4g = 21 + 19 Combine like terms: 21 + 19 = 40 -4g = 40 Divide each side by '-4'. g = -10 Simplifying g = -10
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