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Simplifying 5(g + -4) + -3g + -2 = 8(g + 1) Reorder the terms: 5(-4 + g) + -3g + -2 = 8(g + 1) (-4 * 5 + g * 5) + -3g + -2 = 8(g + 1) (-20 + 5g) + -3g + -2 = 8(g + 1) Reorder the terms: -20 + -2 + 5g + -3g = 8(g + 1) Combine like terms: -20 + -2 = -22 -22 + 5g + -3g = 8(g + 1) Combine like terms: 5g + -3g = 2g -22 + 2g = 8(g + 1) Reorder the terms: -22 + 2g = 8(1 + g) -22 + 2g = (1 * 8 + g * 8) -22 + 2g = (8 + 8g) Solving -22 + 2g = 8 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -22 + 2g + -8g = 8 + 8g + -8g Combine like terms: 2g + -8g = -6g -22 + -6g = 8 + 8g + -8g Combine like terms: 8g + -8g = 0 -22 + -6g = 8 + 0 -22 + -6g = 8 Add '22' to each side of the equation. -22 + 22 + -6g = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -6g = 8 + 22 -6g = 8 + 22 Combine like terms: 8 + 22 = 30 -6g = 30 Divide each side by '-6'. g = -5 Simplifying g = -5
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