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Simplifying 2(5g + -2) + -1(2g + 7) = 0 Reorder the terms: 2(-2 + 5g) + -1(2g + 7) = 0 (-2 * 2 + 5g * 2) + -1(2g + 7) = 0 (-4 + 10g) + -1(2g + 7) = 0 Reorder the terms: -4 + 10g + -1(7 + 2g) = 0 -4 + 10g + (7 * -1 + 2g * -1) = 0 -4 + 10g + (-7 + -2g) = 0 Reorder the terms: -4 + -7 + 10g + -2g = 0 Combine like terms: -4 + -7 = -11 -11 + 10g + -2g = 0 Combine like terms: 10g + -2g = 8g -11 + 8g = 0 Solving -11 + 8g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8g = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8g = 0 + 11 8g = 0 + 11 Combine like terms: 0 + 11 = 11 8g = 11 Divide each side by '8'. g = 1.375 Simplifying g = 1.375
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