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Simplifying 5(g + 3) = 3(2g + -7) Reorder the terms: 5(3 + g) = 3(2g + -7) (3 * 5 + g * 5) = 3(2g + -7) (15 + 5g) = 3(2g + -7) Reorder the terms: 15 + 5g = 3(-7 + 2g) 15 + 5g = (-7 * 3 + 2g * 3) 15 + 5g = (-21 + 6g) Solving 15 + 5g = -21 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 15 + 5g + -6g = -21 + 6g + -6g Combine like terms: 5g + -6g = -1g 15 + -1g = -21 + 6g + -6g Combine like terms: 6g + -6g = 0 15 + -1g = -21 + 0 15 + -1g = -21 Add '-15' to each side of the equation. 15 + -15 + -1g = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -1g = -21 + -15 -1g = -21 + -15 Combine like terms: -21 + -15 = -36 -1g = -36 Divide each side by '-1'. g = 36 Simplifying g = 36
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