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Simplifying -5(3g + 2) + 12g + -5 = -4(2 + -1g) Reorder the terms: -5(2 + 3g) + 12g + -5 = -4(2 + -1g) (2 * -5 + 3g * -5) + 12g + -5 = -4(2 + -1g) (-10 + -15g) + 12g + -5 = -4(2 + -1g) Reorder the terms: -10 + -5 + -15g + 12g = -4(2 + -1g) Combine like terms: -10 + -5 = -15 -15 + -15g + 12g = -4(2 + -1g) Combine like terms: -15g + 12g = -3g -15 + -3g = -4(2 + -1g) -15 + -3g = (2 * -4 + -1g * -4) -15 + -3g = (-8 + 4g) Solving -15 + -3g = -8 + 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. -15 + -3g + -4g = -8 + 4g + -4g Combine like terms: -3g + -4g = -7g -15 + -7g = -8 + 4g + -4g Combine like terms: 4g + -4g = 0 -15 + -7g = -8 + 0 -15 + -7g = -8 Add '15' to each side of the equation. -15 + 15 + -7g = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -7g = -8 + 15 -7g = -8 + 15 Combine like terms: -8 + 15 = 7 -7g = 7 Divide each side by '-7'. g = -1 Simplifying g = -1
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