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Simplifying 5(g + -7) = -3(g + 1) + -1(5g + -2) Reorder the terms: 5(-7 + g) = -3(g + 1) + -1(5g + -2) (-7 * 5 + g * 5) = -3(g + 1) + -1(5g + -2) (-35 + 5g) = -3(g + 1) + -1(5g + -2) Reorder the terms: -35 + 5g = -3(1 + g) + -1(5g + -2) -35 + 5g = (1 * -3 + g * -3) + -1(5g + -2) -35 + 5g = (-3 + -3g) + -1(5g + -2) Reorder the terms: -35 + 5g = -3 + -3g + -1(-2 + 5g) -35 + 5g = -3 + -3g + (-2 * -1 + 5g * -1) -35 + 5g = -3 + -3g + (2 + -5g) Reorder the terms: -35 + 5g = -3 + 2 + -3g + -5g Combine like terms: -3 + 2 = -1 -35 + 5g = -1 + -3g + -5g Combine like terms: -3g + -5g = -8g -35 + 5g = -1 + -8g Solving -35 + 5g = -1 + -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. -35 + 5g + 8g = -1 + -8g + 8g Combine like terms: 5g + 8g = 13g -35 + 13g = -1 + -8g + 8g Combine like terms: -8g + 8g = 0 -35 + 13g = -1 + 0 -35 + 13g = -1 Add '35' to each side of the equation. -35 + 35 + 13g = -1 + 35 Combine like terms: -35 + 35 = 0 0 + 13g = -1 + 35 13g = -1 + 35 Combine like terms: -1 + 35 = 34 13g = 34 Divide each side by '13'. g = 2.615384615 Simplifying g = 2.615384615
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