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Simplifying -8(g + -5) = -12 + 7g Reorder the terms: -8(-5 + g) = -12 + 7g (-5 * -8 + g * -8) = -12 + 7g (40 + -8g) = -12 + 7g Solving 40 + -8g = -12 + 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. 40 + -8g + -7g = -12 + 7g + -7g Combine like terms: -8g + -7g = -15g 40 + -15g = -12 + 7g + -7g Combine like terms: 7g + -7g = 0 40 + -15g = -12 + 0 40 + -15g = -12 Add '-40' to each side of the equation. 40 + -40 + -15g = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -15g = -12 + -40 -15g = -12 + -40 Combine like terms: -12 + -40 = -52 -15g = -52 Divide each side by '-15'. g = 3.466666667 Simplifying g = 3.466666667
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