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Simplifying 3(g + -7) = 0.5(20 + 4g) Reorder the terms: 3(-7 + g) = 0.5(20 + 4g) (-7 * 3 + g * 3) = 0.5(20 + 4g) (-21 + 3g) = 0.5(20 + 4g) -21 + 3g = (20 * 0.5 + 4g * 0.5) -21 + 3g = (10 + 2g) Solving -21 + 3g = 10 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -21 + 3g + -2g = 10 + 2g + -2g Combine like terms: 3g + -2g = 1g -21 + 1g = 10 + 2g + -2g Combine like terms: 2g + -2g = 0 -21 + 1g = 10 + 0 -21 + 1g = 10 Add '21' to each side of the equation. -21 + 21 + 1g = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 1g = 10 + 21 1g = 10 + 21 Combine like terms: 10 + 21 = 31 1g = 31 Divide each side by '1'. g = 31 Simplifying g = 31
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