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Simplifying 28 + 4[3 + 5(3g + -5)] + -5(g + 18) = 0 Reorder the terms: 28 + 4[3 + 5(-5 + 3g)] + -5(g + 18) = 0 28 + 4[3 + (-5 * 5 + 3g * 5)] + -5(g + 18) = 0 28 + 4[3 + (-25 + 15g)] + -5(g + 18) = 0 Combine like terms: 3 + -25 = -22 28 + 4[-22 + 15g] + -5(g + 18) = 0 28 + [-22 * 4 + 15g * 4] + -5(g + 18) = 0 28 + [-88 + 60g] + -5(g + 18) = 0 Reorder the terms: 28 + -88 + 60g + -5(18 + g) = 0 28 + -88 + 60g + (18 * -5 + g * -5) = 0 28 + -88 + 60g + (-90 + -5g) = 0 Reorder the terms: 28 + -88 + -90 + 60g + -5g = 0 Combine like terms: 28 + -88 = -60 -60 + -90 + 60g + -5g = 0 Combine like terms: -60 + -90 = -150 -150 + 60g + -5g = 0 Combine like terms: 60g + -5g = 55g -150 + 55g = 0 Solving -150 + 55g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + 55g = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 55g = 0 + 150 55g = 0 + 150 Combine like terms: 0 + 150 = 150 55g = 150 Divide each side by '55'. g = 2.727272727 Simplifying g = 2.727272727
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